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Finding the Third Proportional to 321,880 and 472,959

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Solution

The third proportional to 321,880 and 472,959 is: 694,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,880 : 472,959 = 472,959 : x
  2. Step 2: Convert to fraction form
    321,880/472,959 = 472,959/x
  3. Step 3: Cross multiply
    321,880x = 472,959 × 472,959
  4. Step 4: Simplify right side
    321,880x = 223,690,215,681
  5. Step 5: Solve for x
    x = 223,690,215,681/321,880
  6. Step 6: Final answer
    x = 694,949.10

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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.