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Finding the Third Proportional to 71,988.75 and 120,649.50

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Solution

The third proportional to 71,988.75 and 120,649.50 is: 202,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,988.75 : 120,649.50 = 120,649.50 : x
  2. Step 2: Convert to fraction form
    71,988.75/120,649.50 = 120,649.50/x
  3. Step 3: Cross multiply
    71,988.75x = 120,649.50 × 120,649.50
  4. Step 4: Simplify right side
    71,988.75x = 14,556,301,850.25
  5. Step 5: Solve for x
    x = 14,556,301,850.25/71,988.75
  6. Step 6: Final answer
    x = 202,202.45

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.