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Finding the Third Proportional to 268,750 and 406,564

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Solution

The third proportional to 268,750 and 406,564 is: 615,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,750 : 406,564 = 406,564 : x
  2. Step 2: Convert to fraction form
    268,750/406,564 = 406,564/x
  3. Step 3: Cross multiply
    268,750x = 406,564 × 406,564
  4. Step 4: Simplify right side
    268,750x = 165,294,286,096
  5. Step 5: Solve for x
    x = 165,294,286,096/268,750
  6. Step 6: Final answer
    x = 615,048.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.