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Finding the Third Proportional to 131,124 and 286,872

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Solution

The third proportional to 131,124 and 286,872 is: 627,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,124 : 286,872 = 286,872 : x
  2. Step 2: Convert to fraction form
    131,124/286,872 = 286,872/x
  3. Step 3: Cross multiply
    131,124x = 286,872 × 286,872
  4. Step 4: Simplify right side
    131,124x = 82,295,544,384
  5. Step 5: Solve for x
    x = 82,295,544,384/131,124
  6. Step 6: Final answer
    x = 627,616.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.