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Finding the Third Proportional to 78,362.44 and 171,747.84

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Solution

The third proportional to 78,362.44 and 171,747.84 is: 376,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,362.44 : 171,747.84 = 171,747.84 : x
  2. Step 2: Convert to fraction form
    78,362.44/171,747.84 = 171,747.84/x
  3. Step 3: Cross multiply
    78,362.44x = 171,747.84 × 171,747.84
  4. Step 4: Simplify right side
    78,362.44x = 29,497,321,832.77
  5. Step 5: Solve for x
    x = 29,497,321,832.77/78,362.44
  6. Step 6: Final answer
    x = 376,421.70

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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.