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Finding the Third Proportional to 78,106.50 and 171,572.63

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Solution

The third proportional to 78,106.50 and 171,572.63 is: 376,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106.50 : 171,572.63 = 171,572.63 : x
  2. Step 2: Convert to fraction form
    78,106.50/171,572.63 = 171,572.63/x
  3. Step 3: Cross multiply
    78,106.50x = 171,572.63 × 171,572.63
  4. Step 4: Simplify right side
    78,106.50x = 29,437,165,649.39
  5. Step 5: Solve for x
    x = 29,437,165,649.39/78,106.50
  6. Step 6: Final answer
    x = 376,884.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.