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Finding the Third Proportional to 71,810,980.50 and 113,728,395

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Solution

The third proportional to 71,810,980.50 and 113,728,395 is: 180,113,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,810,980.50 : 113,728,395 = 113,728,395 : x
  2. Step 2: Convert to fraction form
    71,810,980.50/113,728,395 = 113,728,395/x
  3. Step 3: Cross multiply
    71,810,980.50x = 113,728,395 × 113,728,395
  4. Step 4: Simplify right side
    71,810,980.50x = 12,934,147,829,276,024
  5. Step 5: Solve for x
    x = 12,934,147,829,276,024/71,810,980.50
  6. Step 6: Final answer
    x = 180,113,789.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.