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Finding the Third Proportional to 323,331 and 489,470

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Solution

The third proportional to 323,331 and 489,470 is: 740,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,331 : 489,470 = 489,470 : x
  2. Step 2: Convert to fraction form
    323,331/489,470 = 489,470/x
  3. Step 3: Cross multiply
    323,331x = 489,470 × 489,470
  4. Step 4: Simplify right side
    323,331x = 239,580,880,900
  5. Step 5: Solve for x
    x = 239,580,880,900/323,331
  6. Step 6: Final answer
    x = 740,977.14

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Why These Related Problems?

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