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Finding the Third Proportional to 78,891.05 and 171,157.22

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Solution

The third proportional to 78,891.05 and 171,157.22 is: 371,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,891.05 : 171,157.22 = 171,157.22 : x
  2. Step 2: Convert to fraction form
    78,891.05/171,157.22 = 171,157.22/x
  3. Step 3: Cross multiply
    78,891.05x = 171,157.22 × 171,157.22
  4. Step 4: Simplify right side
    78,891.05x = 29,294,793,530.24
  5. Step 5: Solve for x
    x = 29,294,793,530.24/78,891.05
  6. Step 6: Final answer
    x = 371,332.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.