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Finding the Third Proportional to 310,932 and 687,204

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Solution

The third proportional to 310,932 and 687,204 is: 1,518,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,932 : 687,204 = 687,204 : x
  2. Step 2: Convert to fraction form
    310,932/687,204 = 687,204/x
  3. Step 3: Cross multiply
    310,932x = 687,204 × 687,204
  4. Step 4: Simplify right side
    310,932x = 472,249,337,616
  5. Step 5: Solve for x
    x = 472,249,337,616/310,932
  6. Step 6: Final answer
    x = 1,518,818.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.