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Finding the Third Proportional to 321,597 and 472,761

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Solution

The third proportional to 321,597 and 472,761 is: 694,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,597 : 472,761 = 472,761 : x
  2. Step 2: Convert to fraction form
    321,597/472,761 = 472,761/x
  3. Step 3: Cross multiply
    321,597x = 472,761 × 472,761
  4. Step 4: Simplify right side
    321,597x = 223,502,963,121
  5. Step 5: Solve for x
    x = 223,502,963,121/321,597
  6. Step 6: Final answer
    x = 694,978.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.