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Finding the Third Proportional to 42,746 and 66,359

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Solution

The third proportional to 42,746 and 66,359 is: 103,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,746 : 66,359 = 66,359 : x
  2. Step 2: Convert to fraction form
    42,746/66,359 = 66,359/x
  3. Step 3: Cross multiply
    42,746x = 66,359 × 66,359
  4. Step 4: Simplify right side
    42,746x = 4,403,516,881
  5. Step 5: Solve for x
    x = 4,403,516,881/42,746
  6. Step 6: Final answer
    x = 103,015.88

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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.