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Finding the Third Proportional to 37,719.50 and 78,539

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Solution

The third proportional to 37,719.50 and 78,539 is: 163,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,719.50 : 78,539 = 78,539 : x
  2. Step 2: Convert to fraction form
    37,719.50/78,539 = 78,539/x
  3. Step 3: Cross multiply
    37,719.50x = 78,539 × 78,539
  4. Step 4: Simplify right side
    37,719.50x = 6,168,374,521
  5. Step 5: Solve for x
    x = 6,168,374,521/37,719.50
  6. Step 6: Final answer
    x = 163,532.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.