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Finding the Third Proportional to 323,574 and 489,886

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Solution

The third proportional to 323,574 and 489,886 is: 741,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,574 : 489,886 = 489,886 : x
  2. Step 2: Convert to fraction form
    323,574/489,886 = 489,886/x
  3. Step 3: Cross multiply
    323,574x = 489,886 × 489,886
  4. Step 4: Simplify right side
    323,574x = 239,988,292,996
  5. Step 5: Solve for x
    x = 239,988,292,996/323,574
  6. Step 6: Final answer
    x = 741,679.78

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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.