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Finding the Third Proportional to 42,644 and 66,893

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Solution

The third proportional to 42,644 and 66,893 is: 104,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,644 : 66,893 = 66,893 : x
  2. Step 2: Convert to fraction form
    42,644/66,893 = 66,893/x
  3. Step 3: Cross multiply
    42,644x = 66,893 × 66,893
  4. Step 4: Simplify right side
    42,644x = 4,474,673,449
  5. Step 5: Solve for x
    x = 4,474,673,449/42,644
  6. Step 6: Final answer
    x = 104,930.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.