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Finding the Third Proportional to 129,478 and 282,478

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Solution

The third proportional to 129,478 and 282,478 is: 616,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,478 : 282,478 = 282,478 : x
  2. Step 2: Convert to fraction form
    129,478/282,478 = 282,478/x
  3. Step 3: Cross multiply
    129,478x = 282,478 × 282,478
  4. Step 4: Simplify right side
    129,478x = 79,793,820,484
  5. Step 5: Solve for x
    x = 79,793,820,484/129,478
  6. Step 6: Final answer
    x = 616,273.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.