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Finding the Third Proportional to 320,948 and 687,438

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Solution

The third proportional to 320,948 and 687,438 is: 1,472,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,948 : 687,438 = 687,438 : x
  2. Step 2: Convert to fraction form
    320,948/687,438 = 687,438/x
  3. Step 3: Cross multiply
    320,948x = 687,438 × 687,438
  4. Step 4: Simplify right side
    320,948x = 472,571,003,844
  5. Step 5: Solve for x
    x = 472,571,003,844/320,948
  6. Step 6: Final answer
    x = 1,472,422.34

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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.