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Finding the Third Proportional to 320,903 and 687,348

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Solution

The third proportional to 320,903 and 687,348 is: 1,472,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,903 : 687,348 = 687,348 : x
  2. Step 2: Convert to fraction form
    320,903/687,348 = 687,348/x
  3. Step 3: Cross multiply
    320,903x = 687,348 × 687,348
  4. Step 4: Simplify right side
    320,903x = 472,447,273,104
  5. Step 5: Solve for x
    x = 472,447,273,104/320,903
  6. Step 6: Final answer
    x = 1,472,243.24

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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.