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Finding the Third Proportional to 315,315 and 489,555

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Solution

The third proportional to 315,315 and 489,555 is: 760,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,315 : 489,555 = 489,555 : x
  2. Step 2: Convert to fraction form
    315,315/489,555 = 489,555/x
  3. Step 3: Cross multiply
    315,315x = 489,555 × 489,555
  4. Step 4: Simplify right side
    315,315x = 239,664,098,025
  5. Step 5: Solve for x
    x = 239,664,098,025/315,315
  6. Step 6: Final answer
    x = 760,078.33

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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.