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Finding the Third Proportional to 87,953.50 and 207,411.25

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Solution

The third proportional to 87,953.50 and 207,411.25 is: 489,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,953.50 : 207,411.25 = 207,411.25 : x
  2. Step 2: Convert to fraction form
    87,953.50/207,411.25 = 207,411.25/x
  3. Step 3: Cross multiply
    87,953.50x = 207,411.25 × 207,411.25
  4. Step 4: Simplify right side
    87,953.50x = 43,019,426,626.56
  5. Step 5: Solve for x
    x = 43,019,426,626.56/87,953.50
  6. Step 6: Final answer
    x = 489,115.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.