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Finding the Third Proportional to 308,586 and 655,080

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Solution

The third proportional to 308,586 and 655,080 is: 1,390,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,586 : 655,080 = 655,080 : x
  2. Step 2: Convert to fraction form
    308,586/655,080 = 655,080/x
  3. Step 3: Cross multiply
    308,586x = 655,080 × 655,080
  4. Step 4: Simplify right side
    308,586x = 429,129,806,400
  5. Step 5: Solve for x
    x = 429,129,806,400/308,586
  6. Step 6: Final answer
    x = 1,390,632.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.