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Finding the Third Proportional to 268,752 and 406,605

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Solution

The third proportional to 268,752 and 406,605 is: 615,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,752 : 406,605 = 406,605 : x
  2. Step 2: Convert to fraction form
    268,752/406,605 = 406,605/x
  3. Step 3: Cross multiply
    268,752x = 406,605 × 406,605
  4. Step 4: Simplify right side
    268,752x = 165,327,626,025
  5. Step 5: Solve for x
    x = 165,327,626,025/268,752
  6. Step 6: Final answer
    x = 615,167.98

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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.