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Finding the Third Proportional to 321,664 and 472,868

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Solution

The third proportional to 321,664 and 472,868 is: 695,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,664 : 472,868 = 472,868 : x
  2. Step 2: Convert to fraction form
    321,664/472,868 = 472,868/x
  3. Step 3: Cross multiply
    321,664x = 472,868 × 472,868
  4. Step 4: Simplify right side
    321,664x = 223,604,145,424
  5. Step 5: Solve for x
    x = 223,604,145,424/321,664
  6. Step 6: Final answer
    x = 695,148.18

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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.