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Finding the Third Proportional to 42,387 and 91,437

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Solution

The third proportional to 42,387 and 91,437 is: 197,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,387 : 91,437 = 91,437 : x
  2. Step 2: Convert to fraction form
    42,387/91,437 = 91,437/x
  3. Step 3: Cross multiply
    42,387x = 91,437 × 91,437
  4. Step 4: Simplify right side
    42,387x = 8,360,724,969
  5. Step 5: Solve for x
    x = 8,360,724,969/42,387
  6. Step 6: Final answer
    x = 197,247.39

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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.