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Finding the Third Proportional to 39,970.50 and 81,318

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Solution

The third proportional to 39,970.50 and 81,318 is: 165,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970.50 : 81,318 = 81,318 : x
  2. Step 2: Convert to fraction form
    39,970.50/81,318 = 81,318/x
  3. Step 3: Cross multiply
    39,970.50x = 81,318 × 81,318
  4. Step 4: Simplify right side
    39,970.50x = 6,612,617,124
  5. Step 5: Solve for x
    x = 6,612,617,124/39,970.50
  6. Step 6: Final answer
    x = 165,437.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.