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Finding the Third Proportional to 27,506 and 42,902

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Solution

The third proportional to 27,506 and 42,902 is: 66,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506 : 42,902 = 42,902 : x
  2. Step 2: Convert to fraction form
    27,506/42,902 = 42,902/x
  3. Step 3: Cross multiply
    27,506x = 42,902 × 42,902
  4. Step 4: Simplify right side
    27,506x = 1,840,581,604
  5. Step 5: Solve for x
    x = 1,840,581,604/27,506
  6. Step 6: Final answer
    x = 66,915.64

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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.