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Finding the Third Proportional to 321,882 and 472,970

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Solution

The third proportional to 321,882 and 472,970 is: 694,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,882 : 472,970 = 472,970 : x
  2. Step 2: Convert to fraction form
    321,882/472,970 = 472,970/x
  3. Step 3: Cross multiply
    321,882x = 472,970 × 472,970
  4. Step 4: Simplify right side
    321,882x = 223,700,620,900
  5. Step 5: Solve for x
    x = 223,700,620,900/321,882
  6. Step 6: Final answer
    x = 694,977.11

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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.