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Finding the Third Proportional to 129,695 and 265,792

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Solution

The third proportional to 129,695 and 265,792 is: 544,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,695 : 265,792 = 265,792 : x
  2. Step 2: Convert to fraction form
    129,695/265,792 = 265,792/x
  3. Step 3: Cross multiply
    129,695x = 265,792 × 265,792
  4. Step 4: Simplify right side
    129,695x = 70,645,387,264
  5. Step 5: Solve for x
    x = 70,645,387,264/129,695
  6. Step 6: Final answer
    x = 544,704.02

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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.