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Finding the Third Proportional to 78,846 and 182,343

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Solution

The third proportional to 78,846 and 182,343 is: 421,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,846 : 182,343 = 182,343 : x
  2. Step 2: Convert to fraction form
    78,846/182,343 = 182,343/x
  3. Step 3: Cross multiply
    78,846x = 182,343 × 182,343
  4. Step 4: Simplify right side
    78,846x = 33,248,969,649
  5. Step 5: Solve for x
    x = 33,248,969,649/78,846
  6. Step 6: Final answer
    x = 421,695.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.