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Finding the Third Proportional to 129,776 and 265,984

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Solution

The third proportional to 129,776 and 265,984 is: 545,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,776 : 265,984 = 265,984 : x
  2. Step 2: Convert to fraction form
    129,776/265,984 = 265,984/x
  3. Step 3: Cross multiply
    129,776x = 265,984 × 265,984
  4. Step 4: Simplify right side
    129,776x = 70,747,488,256
  5. Step 5: Solve for x
    x = 70,747,488,256/129,776
  6. Step 6: Final answer
    x = 545,150.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.