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Finding the Third Proportional to 78,175.13 and 170,646.75

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Solution

The third proportional to 78,175.13 and 170,646.75 is: 372,501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175.13 : 170,646.75 = 170,646.75 : x
  2. Step 2: Convert to fraction form
    78,175.13/170,646.75 = 170,646.75/x
  3. Step 3: Cross multiply
    78,175.13x = 170,646.75 × 170,646.75
  4. Step 4: Simplify right side
    78,175.13x = 29,120,313,285.56
  5. Step 5: Solve for x
    x = 29,120,313,285.56/78,175.13
  6. Step 6: Final answer
    x = 372,501.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.