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Finding the Third Proportional to 99,775.50 and 145,941.75

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Solution

The third proportional to 99,775.50 and 145,941.75 is: 213,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,775.50 : 145,941.75 = 145,941.75 : x
  2. Step 2: Convert to fraction form
    99,775.50/145,941.75 = 145,941.75/x
  3. Step 3: Cross multiply
    99,775.50x = 145,941.75 × 145,941.75
  4. Step 4: Simplify right side
    99,775.50x = 21,298,994,393.06
  5. Step 5: Solve for x
    x = 21,298,994,393.06/99,775.50
  6. Step 6: Final answer
    x = 213,469.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.