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Finding the Third Proportional to 321,748 and 489,540

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Solution

The third proportional to 321,748 and 489,540 is: 744,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,748 : 489,540 = 489,540 : x
  2. Step 2: Convert to fraction form
    321,748/489,540 = 489,540/x
  3. Step 3: Cross multiply
    321,748x = 489,540 × 489,540
  4. Step 4: Simplify right side
    321,748x = 239,649,411,600
  5. Step 5: Solve for x
    x = 239,649,411,600/321,748
  6. Step 6: Final answer
    x = 744,835.75

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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.