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Finding the Third Proportional to 53,487 and 83,155

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Solution

The third proportional to 53,487 and 83,155 is: 129,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,487 : 83,155 = 83,155 : x
  2. Step 2: Convert to fraction form
    53,487/83,155 = 83,155/x
  3. Step 3: Cross multiply
    53,487x = 83,155 × 83,155
  4. Step 4: Simplify right side
    53,487x = 6,914,754,025
  5. Step 5: Solve for x
    x = 6,914,754,025/53,487
  6. Step 6: Final answer
    x = 129,279.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.