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Finding the Third Proportional to 81,072,686.50 and 178,359,737

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Solution

The third proportional to 81,072,686.50 and 178,359,737 is: 392,391,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,072,686.50 : 178,359,737 = 178,359,737 : x
  2. Step 2: Convert to fraction form
    81,072,686.50/178,359,737 = 178,359,737/x
  3. Step 3: Cross multiply
    81,072,686.50x = 178,359,737 × 178,359,737
  4. Step 4: Simplify right side
    81,072,686.50x = 31,812,195,782,709,168
  5. Step 5: Solve for x
    x = 31,812,195,782,709,168/81,072,686.50
  6. Step 6: Final answer
    x = 392,391,040.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.