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Finding the Third Proportional to 280,704 and 406,314

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Solution

The third proportional to 280,704 and 406,314 is: 588,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,704 : 406,314 = 406,314 : x
  2. Step 2: Convert to fraction form
    280,704/406,314 = 406,314/x
  3. Step 3: Cross multiply
    280,704x = 406,314 × 406,314
  4. Step 4: Simplify right side
    280,704x = 165,091,066,596
  5. Step 5: Solve for x
    x = 165,091,066,596/280,704
  6. Step 6: Final answer
    x = 588,132.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.