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Finding the Third Proportional to 72,624 and 157,311

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Solution

The third proportional to 72,624 and 157,311 is: 340,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,624 : 157,311 = 157,311 : x
  2. Step 2: Convert to fraction form
    72,624/157,311 = 157,311/x
  3. Step 3: Cross multiply
    72,624x = 157,311 × 157,311
  4. Step 4: Simplify right side
    72,624x = 24,746,750,721
  5. Step 5: Solve for x
    x = 24,746,750,721/72,624
  6. Step 6: Final answer
    x = 340,751.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.