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Finding the Third Proportional to 72,215 and 157,552

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Solution

The third proportional to 72,215 and 157,552 is: 343,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,215 : 157,552 = 157,552 : x
  2. Step 2: Convert to fraction form
    72,215/157,552 = 157,552/x
  3. Step 3: Cross multiply
    72,215x = 157,552 × 157,552
  4. Step 4: Simplify right side
    72,215x = 24,822,632,704
  5. Step 5: Solve for x
    x = 24,822,632,704/72,215
  6. Step 6: Final answer
    x = 343,732.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.