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Finding the Third Proportional to 81,458.16 and 170,360.40

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Solution

The third proportional to 81,458.16 and 170,360.40 is: 356,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,458.16 : 170,360.40 = 170,360.40 : x
  2. Step 2: Convert to fraction form
    81,458.16/170,360.40 = 170,360.40/x
  3. Step 3: Cross multiply
    81,458.16x = 170,360.40 × 170,360.40
  4. Step 4: Simplify right side
    81,458.16x = 29,022,666,686.72
  5. Step 5: Solve for x
    x = 29,022,666,686.72/81,458.16
  6. Step 6: Final answer
    x = 356,289.27

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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.