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Finding the Third Proportional to 87,219 and 138,334.50

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Solution

The third proportional to 87,219 and 138,334.50 is: 219,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,219 : 138,334.50 = 138,334.50 : x
  2. Step 2: Convert to fraction form
    87,219/138,334.50 = 138,334.50/x
  3. Step 3: Cross multiply
    87,219x = 138,334.50 × 138,334.50
  4. Step 4: Simplify right side
    87,219x = 19,136,433,890.25
  5. Step 5: Solve for x
    x = 19,136,433,890.25/87,219
  6. Step 6: Final answer
    x = 219,406.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.