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Finding the Third Proportional to 129,386 and 274,324

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Solution

The third proportional to 129,386 and 274,324 is: 581,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,386 : 274,324 = 274,324 : x
  2. Step 2: Convert to fraction form
    129,386/274,324 = 274,324/x
  3. Step 3: Cross multiply
    129,386x = 274,324 × 274,324
  4. Step 4: Simplify right side
    129,386x = 75,253,656,976
  5. Step 5: Solve for x
    x = 75,253,656,976/129,386
  6. Step 6: Final answer
    x = 581,621.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.