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Finding the Third Proportional to 320,949 and 687,440

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Solution

The third proportional to 320,949 and 687,440 is: 1,472,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,949 : 687,440 = 687,440 : x
  2. Step 2: Convert to fraction form
    320,949/687,440 = 687,440/x
  3. Step 3: Cross multiply
    320,949x = 687,440 × 687,440
  4. Step 4: Simplify right side
    320,949x = 472,573,753,600
  5. Step 5: Solve for x
    x = 472,573,753,600/320,949
  6. Step 6: Final answer
    x = 1,472,426.32

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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.