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Finding the Third Proportional to 78,661.13 and 171,289.69

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Solution

The third proportional to 78,661.13 and 171,289.69 is: 372,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,661.13 : 171,289.69 = 171,289.69 : x
  2. Step 2: Convert to fraction form
    78,661.13/171,289.69 = 171,289.69/x
  3. Step 3: Cross multiply
    78,661.13x = 171,289.69 × 171,289.69
  4. Step 4: Simplify right side
    78,661.13x = 29,340,157,043.85
  5. Step 5: Solve for x
    x = 29,340,157,043.85/78,661.13
  6. Step 6: Final answer
    x = 372,994.37

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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.