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Finding the Third Proportional to 86,241.38 and 130,821.75

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Solution

The third proportional to 86,241.38 and 130,821.75 is: 198,446.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,241.38 : 130,821.75 = 130,821.75 : x
  2. Step 2: Convert to fraction form
    86,241.38/130,821.75 = 130,821.75/x
  3. Step 3: Cross multiply
    86,241.38x = 130,821.75 × 130,821.75
  4. Step 4: Simplify right side
    86,241.38x = 17,114,330,273.06
  5. Step 5: Solve for x
    x = 17,114,330,273.06/86,241.38
  6. Step 6: Final answer
    x = 198,446.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.