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Finding the Third Proportional to 78,177.66 and 168,410.39

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Solution

The third proportional to 78,177.66 and 168,410.39 is: 362,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177.66 : 168,410.39 = 168,410.39 : x
  2. Step 2: Convert to fraction form
    78,177.66/168,410.39 = 168,410.39/x
  3. Step 3: Cross multiply
    78,177.66x = 168,410.39 × 168,410.39
  4. Step 4: Simplify right side
    78,177.66x = 28,362,059,670.47
  5. Step 5: Solve for x
    x = 28,362,059,670.47/78,177.66
  6. Step 6: Final answer
    x = 362,789.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.