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Finding the Third Proportional to 172,264 and 268,604

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Solution

The third proportional to 172,264 and 268,604 is: 418,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,264 : 268,604 = 268,604 : x
  2. Step 2: Convert to fraction form
    172,264/268,604 = 268,604/x
  3. Step 3: Cross multiply
    172,264x = 268,604 × 268,604
  4. Step 4: Simplify right side
    172,264x = 72,148,108,816
  5. Step 5: Solve for x
    x = 72,148,108,816/172,264
  6. Step 6: Final answer
    x = 418,822.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.