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Finding the Third Proportional to 78,850 and 113,343

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Solution

The third proportional to 78,850 and 113,343 is: 162,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,850 : 113,343 = 113,343 : x
  2. Step 2: Convert to fraction form
    78,850/113,343 = 113,343/x
  3. Step 3: Cross multiply
    78,850x = 113,343 × 113,343
  4. Step 4: Simplify right side
    78,850x = 12,846,635,649
  5. Step 5: Solve for x
    x = 12,846,635,649/78,850
  6. Step 6: Final answer
    x = 162,924.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.