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Finding the Third Proportional to 39,444.50 and 86,539

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Solution

The third proportional to 39,444.50 and 86,539 is: 189,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,444.50 : 86,539 = 86,539 : x
  2. Step 2: Convert to fraction form
    39,444.50/86,539 = 86,539/x
  3. Step 3: Cross multiply
    39,444.50x = 86,539 × 86,539
  4. Step 4: Simplify right side
    39,444.50x = 7,488,998,521
  5. Step 5: Solve for x
    x = 7,488,998,521/39,444.50
  6. Step 6: Final answer
    x = 189,861.67

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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.