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Finding the Third Proportional to 320,908 and 687,359

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Solution

The third proportional to 320,908 and 687,359 is: 1,472,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,908 : 687,359 = 687,359 : x
  2. Step 2: Convert to fraction form
    320,908/687,359 = 687,359/x
  3. Step 3: Cross multiply
    320,908x = 687,359 × 687,359
  4. Step 4: Simplify right side
    320,908x = 472,462,394,881
  5. Step 5: Solve for x
    x = 472,462,394,881/320,908
  6. Step 6: Final answer
    x = 1,472,267.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.