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Finding the Third Proportional to 66,280,739,166 and 145,393,770,775.50

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Solution

The third proportional to 66,280,739,166 and 145,393,770,775.50 is: 318,936,524,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,280,739,166 : 145,393,770,775.50 = 145,393,770,775.50 : x
  2. Step 2: Convert to fraction form
    66,280,739,166/145,393,770,775.50 = 145,393,770,775.50/x
  3. Step 3: Cross multiply
    66,280,739,166x = 145,393,770,775.50 × 145,393,770,775.50
  4. Step 4: Simplify right side
    66,280,739,166x = 21,139,348,580,318,637,457,408
  5. Step 5: Solve for x
    x = 21,139,348,580,318,637,457,408/66,280,739,166
  6. Step 6: Final answer
    x = 318,936,524,340.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.