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Finding the Third Proportional to 129,265.88 and 278,222.34

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Solution

The third proportional to 129,265.88 and 278,222.34 is: 598,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,265.88 : 278,222.34 = 278,222.34 : x
  2. Step 2: Convert to fraction form
    129,265.88/278,222.34 = 278,222.34/x
  3. Step 3: Cross multiply
    129,265.88x = 278,222.34 × 278,222.34
  4. Step 4: Simplify right side
    129,265.88x = 77,407,672,561.74
  5. Step 5: Solve for x
    x = 77,407,672,561.74/129,265.88
  6. Step 6: Final answer
    x = 598,825.27

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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.