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Finding the Third Proportional to 127,984 and 278,534

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Solution

The third proportional to 127,984 and 278,534 is: 606,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,984 : 278,534 = 278,534 : x
  2. Step 2: Convert to fraction form
    127,984/278,534 = 278,534/x
  3. Step 3: Cross multiply
    127,984x = 278,534 × 278,534
  4. Step 4: Simplify right side
    127,984x = 77,581,189,156
  5. Step 5: Solve for x
    x = 77,581,189,156/127,984
  6. Step 6: Final answer
    x = 606,178.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.