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Finding the Third Proportional to 368,500 and 781,287

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Solution

The third proportional to 368,500 and 781,287 is: 1,656,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,500 : 781,287 = 781,287 : x
  2. Step 2: Convert to fraction form
    368,500/781,287 = 781,287/x
  3. Step 3: Cross multiply
    368,500x = 781,287 × 781,287
  4. Step 4: Simplify right side
    368,500x = 610,409,376,369
  5. Step 5: Solve for x
    x = 610,409,376,369/368,500
  6. Step 6: Final answer
    x = 1,656,470.49

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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.