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Finding the Third Proportional to 81,501.19 and 170,434.13

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Solution

The third proportional to 81,501.19 and 170,434.13 is: 356,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,501.19 : 170,434.13 = 170,434.13 : x
  2. Step 2: Convert to fraction form
    81,501.19/170,434.13 = 170,434.13/x
  3. Step 3: Cross multiply
    81,501.19x = 170,434.13 × 170,434.13
  4. Step 4: Simplify right side
    81,501.19x = 29,047,790,964.52
  5. Step 5: Solve for x
    x = 29,047,790,964.52/81,501.19
  6. Step 6: Final answer
    x = 356,409.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.