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Finding the Third Proportional to 81,739.13 and 175,142.25

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Solution

The third proportional to 81,739.13 and 175,142.25 is: 375,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,739.13 : 175,142.25 = 175,142.25 : x
  2. Step 2: Convert to fraction form
    81,739.13/175,142.25 = 175,142.25/x
  3. Step 3: Cross multiply
    81,739.13x = 175,142.25 × 175,142.25
  4. Step 4: Simplify right side
    81,739.13x = 30,674,807,735.06
  5. Step 5: Solve for x
    x = 30,674,807,735.06/81,739.13
  6. Step 6: Final answer
    x = 375,276.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.