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Finding the Third Proportional to 42,345 and 91,439

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Solution

The third proportional to 42,345 and 91,439 is: 197,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,345 : 91,439 = 91,439 : x
  2. Step 2: Convert to fraction form
    42,345/91,439 = 91,439/x
  3. Step 3: Cross multiply
    42,345x = 91,439 × 91,439
  4. Step 4: Simplify right side
    42,345x = 8,361,090,721
  5. Step 5: Solve for x
    x = 8,361,090,721/42,345
  6. Step 6: Final answer
    x = 197,451.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.