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Finding the Third Proportional to 85,732 and 133,506

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Solution

The third proportional to 85,732 and 133,506 is: 207,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,732 : 133,506 = 133,506 : x
  2. Step 2: Convert to fraction form
    85,732/133,506 = 133,506/x
  3. Step 3: Cross multiply
    85,732x = 133,506 × 133,506
  4. Step 4: Simplify right side
    85,732x = 17,823,852,036
  5. Step 5: Solve for x
    x = 17,823,852,036/85,732
  6. Step 6: Final answer
    x = 207,901.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.