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Finding the Third Proportional to 42,998 and 66,414

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Solution

The third proportional to 42,998 and 66,414 is: 102,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,998 : 66,414 = 66,414 : x
  2. Step 2: Convert to fraction form
    42,998/66,414 = 66,414/x
  3. Step 3: Cross multiply
    42,998x = 66,414 × 66,414
  4. Step 4: Simplify right side
    42,998x = 4,410,819,396
  5. Step 5: Solve for x
    x = 4,410,819,396/42,998
  6. Step 6: Final answer
    x = 102,581.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.