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Finding the Third Proportional to 315,320 and 489,561

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Solution

The third proportional to 315,320 and 489,561 is: 760,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,320 : 489,561 = 489,561 : x
  2. Step 2: Convert to fraction form
    315,320/489,561 = 489,561/x
  3. Step 3: Cross multiply
    315,320x = 489,561 × 489,561
  4. Step 4: Simplify right side
    315,320x = 239,669,972,721
  5. Step 5: Solve for x
    x = 239,669,972,721/315,320
  6. Step 6: Final answer
    x = 760,084.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.