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Finding the Third Proportional to 78,857.30 and 170,187.33

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Solution

The third proportional to 78,857.30 and 170,187.33 is: 367,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857.30 : 170,187.33 = 170,187.33 : x
  2. Step 2: Convert to fraction form
    78,857.30/170,187.33 = 170,187.33/x
  3. Step 3: Cross multiply
    78,857.30x = 170,187.33 × 170,187.33
  4. Step 4: Simplify right side
    78,857.30x = 28,963,726,654.33
  5. Step 5: Solve for x
    x = 28,963,726,654.33/78,857.30
  6. Step 6: Final answer
    x = 367,292.92

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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.