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Finding the Third Proportional to 42,458 and 89,974

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Solution

The third proportional to 42,458 and 89,974 is: 190,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,458 : 89,974 = 89,974 : x
  2. Step 2: Convert to fraction form
    42,458/89,974 = 89,974/x
  3. Step 3: Cross multiply
    42,458x = 89,974 × 89,974
  4. Step 4: Simplify right side
    42,458x = 8,095,320,676
  5. Step 5: Solve for x
    x = 8,095,320,676/42,458
  6. Step 6: Final answer
    x = 190,666.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.