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Finding the Third Proportional to 81,047.75 and 130,221

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Solution

The third proportional to 81,047.75 and 130,221 is: 209,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,047.75 : 130,221 = 130,221 : x
  2. Step 2: Convert to fraction form
    81,047.75/130,221 = 130,221/x
  3. Step 3: Cross multiply
    81,047.75x = 130,221 × 130,221
  4. Step 4: Simplify right side
    81,047.75x = 16,957,508,841
  5. Step 5: Solve for x
    x = 16,957,508,841/81,047.75
  6. Step 6: Final answer
    x = 209,228.62

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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.