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Finding the Third Proportional to 81,487 and 180,470

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Solution

The third proportional to 81,487 and 180,470 is: 399,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,487 : 180,470 = 180,470 : x
  2. Step 2: Convert to fraction form
    81,487/180,470 = 180,470/x
  3. Step 3: Cross multiply
    81,487x = 180,470 × 180,470
  4. Step 4: Simplify right side
    81,487x = 32,569,420,900
  5. Step 5: Solve for x
    x = 32,569,420,900/81,487
  6. Step 6: Final answer
    x = 399,688.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.