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Finding the Third Proportional to 321,866 and 486,940

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Solution

The third proportional to 321,866 and 486,940 is: 736,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,866 : 486,940 = 486,940 : x
  2. Step 2: Convert to fraction form
    321,866/486,940 = 486,940/x
  3. Step 3: Cross multiply
    321,866x = 486,940 × 486,940
  4. Step 4: Simplify right side
    321,866x = 237,110,563,600
  5. Step 5: Solve for x
    x = 237,110,563,600/321,866
  6. Step 6: Final answer
    x = 736,674.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.