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Finding the Third Proportional to 42,927 and 66,467

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Solution

The third proportional to 42,927 and 66,467 is: 102,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,927 : 66,467 = 66,467 : x
  2. Step 2: Convert to fraction form
    42,927/66,467 = 66,467/x
  3. Step 3: Cross multiply
    42,927x = 66,467 × 66,467
  4. Step 4: Simplify right side
    42,927x = 4,417,862,089
  5. Step 5: Solve for x
    x = 4,417,862,089/42,927
  6. Step 6: Final answer
    x = 102,915.70

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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.