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Finding the Third Proportional to 321,744 and 489,534

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Solution

The third proportional to 321,744 and 489,534 is: 744,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,744 : 489,534 = 489,534 : x
  2. Step 2: Convert to fraction form
    321,744/489,534 = 489,534/x
  3. Step 3: Cross multiply
    321,744x = 489,534 × 489,534
  4. Step 4: Simplify right side
    321,744x = 239,643,537,156
  5. Step 5: Solve for x
    x = 239,643,537,156/321,744
  6. Step 6: Final answer
    x = 744,826.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.