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Finding the Third Proportional to 87,390.50 and 191,455.50

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Solution

The third proportional to 87,390.50 and 191,455.50 is: 419,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,390.50 : 191,455.50 = 191,455.50 : x
  2. Step 2: Convert to fraction form
    87,390.50/191,455.50 = 191,455.50/x
  3. Step 3: Cross multiply
    87,390.50x = 191,455.50 × 191,455.50
  4. Step 4: Simplify right side
    87,390.50x = 36,655,208,480.25
  5. Step 5: Solve for x
    x = 36,655,208,480.25/87,390.50
  6. Step 6: Final answer
    x = 419,441.57

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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.