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Finding the Third Proportional to 48,432 and 72,698

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Solution

The third proportional to 48,432 and 72,698 is: 109,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,432 : 72,698 = 72,698 : x
  2. Step 2: Convert to fraction form
    48,432/72,698 = 72,698/x
  3. Step 3: Cross multiply
    48,432x = 72,698 × 72,698
  4. Step 4: Simplify right side
    48,432x = 5,284,999,204
  5. Step 5: Solve for x
    x = 5,284,999,204/48,432
  6. Step 6: Final answer
    x = 109,122.05

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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.