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Finding the Third Proportional to 52,920 and 72,068

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Solution

The third proportional to 52,920 and 72,068 is: 98,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,920 : 72,068 = 72,068 : x
  2. Step 2: Convert to fraction form
    52,920/72,068 = 72,068/x
  3. Step 3: Cross multiply
    52,920x = 72,068 × 72,068
  4. Step 4: Simplify right side
    52,920x = 5,193,796,624
  5. Step 5: Solve for x
    x = 5,193,796,624/52,920
  6. Step 6: Final answer
    x = 98,144.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.