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Finding the Third Proportional to 129,107 and 278,608

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Solution

The third proportional to 129,107 and 278,608 is: 601,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,107 : 278,608 = 278,608 : x
  2. Step 2: Convert to fraction form
    129,107/278,608 = 278,608/x
  3. Step 3: Cross multiply
    129,107x = 278,608 × 278,608
  4. Step 4: Simplify right side
    129,107x = 77,622,417,664
  5. Step 5: Solve for x
    x = 77,622,417,664/129,107
  6. Step 6: Final answer
    x = 601,225.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.