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Finding the Third Proportional to 323,557 and 489,861

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Solution

The third proportional to 323,557 and 489,861 is: 741,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,557 : 489,861 = 489,861 : x
  2. Step 2: Convert to fraction form
    323,557/489,861 = 489,861/x
  3. Step 3: Cross multiply
    323,557x = 489,861 × 489,861
  4. Step 4: Simplify right side
    323,557x = 239,963,799,321
  5. Step 5: Solve for x
    x = 239,963,799,321/323,557
  6. Step 6: Final answer
    x = 741,643.05

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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.