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Finding the Third Proportional to 42,744 and 66,354

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Solution

The third proportional to 42,744 and 66,354 is: 103,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,744 : 66,354 = 66,354 : x
  2. Step 2: Convert to fraction form
    42,744/66,354 = 66,354/x
  3. Step 3: Cross multiply
    42,744x = 66,354 × 66,354
  4. Step 4: Simplify right side
    42,744x = 4,402,853,316
  5. Step 5: Solve for x
    x = 4,402,853,316/42,744
  6. Step 6: Final answer
    x = 103,005.18

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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.