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Finding the Third Proportional to 315,305.79 and 489,570.96

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Solution

The third proportional to 315,305.79 and 489,570.96 is: 760,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,305.79 : 489,570.96 = 489,570.96 : x
  2. Step 2: Convert to fraction form
    315,305.79/489,570.96 = 489,570.96/x
  3. Step 3: Cross multiply
    315,305.79x = 489,570.96 × 489,570.96
  4. Step 4: Simplify right side
    315,305.79x = 239,679,725,793.27
  5. Step 5: Solve for x
    x = 239,679,725,793.27/315,305.79
  6. Step 6: Final answer
    x = 760,150.10

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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.