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Finding the Third Proportional to 268,704 and 406,080

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Solution

The third proportional to 268,704 and 406,080 is: 613,690.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,704 : 406,080 = 406,080 : x
  2. Step 2: Convert to fraction form
    268,704/406,080 = 406,080/x
  3. Step 3: Cross multiply
    268,704x = 406,080 × 406,080
  4. Step 4: Simplify right side
    268,704x = 164,900,966,400
  5. Step 5: Solve for x
    x = 164,900,966,400/268,704
  6. Step 6: Final answer
    x = 613,690.03

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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.