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Finding the Third Proportional to 268,754 and 406,608

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Solution

The third proportional to 268,754 and 406,608 is: 615,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,754 : 406,608 = 406,608 : x
  2. Step 2: Convert to fraction form
    268,754/406,608 = 406,608/x
  3. Step 3: Cross multiply
    268,754x = 406,608 × 406,608
  4. Step 4: Simplify right side
    268,754x = 165,330,065,664
  5. Step 5: Solve for x
    x = 165,330,065,664/268,754
  6. Step 6: Final answer
    x = 615,172.48

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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.