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Finding the Third Proportional to 129,447 and 278,106

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Solution

The third proportional to 129,447 and 278,106 is: 597,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,447 : 278,106 = 278,106 : x
  2. Step 2: Convert to fraction form
    129,447/278,106 = 278,106/x
  3. Step 3: Cross multiply
    129,447x = 278,106 × 278,106
  4. Step 4: Simplify right side
    129,447x = 77,342,947,236
  5. Step 5: Solve for x
    x = 77,342,947,236/129,447
  6. Step 6: Final answer
    x = 597,487.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.