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Finding the Third Proportional to 321,746 and 489,537

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Solution

The third proportional to 321,746 and 489,537 is: 744,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,746 : 489,537 = 489,537 : x
  2. Step 2: Convert to fraction form
    321,746/489,537 = 489,537/x
  3. Step 3: Cross multiply
    321,746x = 489,537 × 489,537
  4. Step 4: Simplify right side
    321,746x = 239,646,474,369
  5. Step 5: Solve for x
    x = 239,646,474,369/321,746
  6. Step 6: Final answer
    x = 744,831.25

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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.