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Finding the Third Proportional to 53,730 and 81,486

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Solution

The third proportional to 53,730 and 81,486 is: 123,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,730 : 81,486 = 81,486 : x
  2. Step 2: Convert to fraction form
    53,730/81,486 = 81,486/x
  3. Step 3: Cross multiply
    53,730x = 81,486 × 81,486
  4. Step 4: Simplify right side
    53,730x = 6,639,968,196
  5. Step 5: Solve for x
    x = 6,639,968,196/53,730
  6. Step 6: Final answer
    x = 123,580.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.