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Finding the Third Proportional to 78,270.68 and 171,764.93

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Solution

The third proportional to 78,270.68 and 171,764.93 is: 376,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,270.68 : 171,764.93 = 171,764.93 : x
  2. Step 2: Convert to fraction form
    78,270.68/171,764.93 = 171,764.93/x
  3. Step 3: Cross multiply
    78,270.68x = 171,764.93 × 171,764.93
  4. Step 4: Simplify right side
    78,270.68x = 29,503,191,070.55
  5. Step 5: Solve for x
    x = 29,503,191,070.55/78,270.68
  6. Step 6: Final answer
    x = 376,937.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.