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Finding the Third Proportional to 175,560.75 and 378,820.13

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Solution

The third proportional to 175,560.75 and 378,820.13 is: 817,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,560.75 : 378,820.13 = 378,820.13 : x
  2. Step 2: Convert to fraction form
    175,560.75/378,820.13 = 378,820.13/x
  3. Step 3: Cross multiply
    175,560.75x = 378,820.13 × 378,820.13
  4. Step 4: Simplify right side
    175,560.75x = 143,504,687,105.02
  5. Step 5: Solve for x
    x = 143,504,687,105.02/175,560.75
  6. Step 6: Final answer
    x = 817,407.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.