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Finding the Third Proportional to 124,800 and 286,656

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Solution

The third proportional to 124,800 and 286,656 is: 658,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,800 : 286,656 = 286,656 : x
  2. Step 2: Convert to fraction form
    124,800/286,656 = 286,656/x
  3. Step 3: Cross multiply
    124,800x = 286,656 × 286,656
  4. Step 4: Simplify right side
    124,800x = 82,171,662,336
  5. Step 5: Solve for x
    x = 82,171,662,336/124,800
  6. Step 6: Final answer
    x = 658,426.78

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.