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Finding the Third Proportional to 60,336 and 90,387

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Solution

The third proportional to 60,336 and 90,387 is: 135,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,336 : 90,387 = 90,387 : x
  2. Step 2: Convert to fraction form
    60,336/90,387 = 90,387/x
  3. Step 3: Cross multiply
    60,336x = 90,387 × 90,387
  4. Step 4: Simplify right side
    60,336x = 8,169,809,769
  5. Step 5: Solve for x
    x = 8,169,809,769/60,336
  6. Step 6: Final answer
    x = 135,405.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.