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Finding the Third Proportional to 81,043.50 and 130,215

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Solution

The third proportional to 81,043.50 and 130,215 is: 209,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,043.50 : 130,215 = 130,215 : x
  2. Step 2: Convert to fraction form
    81,043.50/130,215 = 130,215/x
  3. Step 3: Cross multiply
    81,043.50x = 130,215 × 130,215
  4. Step 4: Simplify right side
    81,043.50x = 16,955,946,225
  5. Step 5: Solve for x
    x = 16,955,946,225/81,043.50
  6. Step 6: Final answer
    x = 209,220.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.