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Finding the Third Proportional to 115,494.19 and 172,771.31

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Solution

The third proportional to 115,494.19 and 172,771.31 is: 258,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,494.19 : 172,771.31 = 172,771.31 : x
  2. Step 2: Convert to fraction form
    115,494.19/172,771.31 = 172,771.31/x
  3. Step 3: Cross multiply
    115,494.19x = 172,771.31 × 172,771.31
  4. Step 4: Simplify right side
    115,494.19x = 29,849,926,422.97
  5. Step 5: Solve for x
    x = 29,849,926,422.97/115,494.19
  6. Step 6: Final answer
    x = 258,453.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.