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Finding the Third Proportional to 129,444 and 284,904

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Solution

The third proportional to 129,444 and 284,904 is: 627,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,444 : 284,904 = 284,904 : x
  2. Step 2: Convert to fraction form
    129,444/284,904 = 284,904/x
  3. Step 3: Cross multiply
    129,444x = 284,904 × 284,904
  4. Step 4: Simplify right side
    129,444x = 81,170,289,216
  5. Step 5: Solve for x
    x = 81,170,289,216/129,444
  6. Step 6: Final answer
    x = 627,068.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.