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Finding the Third Proportional to 322,957 and 480,739

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Solution

The third proportional to 322,957 and 480,739 is: 715,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,957 : 480,739 = 480,739 : x
  2. Step 2: Convert to fraction form
    322,957/480,739 = 480,739/x
  3. Step 3: Cross multiply
    322,957x = 480,739 × 480,739
  4. Step 4: Simplify right side
    322,957x = 231,109,986,121
  5. Step 5: Solve for x
    x = 231,109,986,121/322,957
  6. Step 6: Final answer
    x = 715,606.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.