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Finding the Third Proportional to 87,480 and 191,585.25

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Solution

The third proportional to 87,480 and 191,585.25 is: 419,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,480 : 191,585.25 = 191,585.25 : x
  2. Step 2: Convert to fraction form
    87,480/191,585.25 = 191,585.25/x
  3. Step 3: Cross multiply
    87,480x = 191,585.25 × 191,585.25
  4. Step 4: Simplify right side
    87,480x = 36,704,908,017.56
  5. Step 5: Solve for x
    x = 36,704,908,017.56/87,480
  6. Step 6: Final answer
    x = 419,580.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.