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Finding the Third Proportional to 81,985.50 and 107,649

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Solution

The third proportional to 81,985.50 and 107,649 is: 141,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,985.50 : 107,649 = 107,649 : x
  2. Step 2: Convert to fraction form
    81,985.50/107,649 = 107,649/x
  3. Step 3: Cross multiply
    81,985.50x = 107,649 × 107,649
  4. Step 4: Simplify right side
    81,985.50x = 11,588,307,201
  5. Step 5: Solve for x
    x = 11,588,307,201/81,985.50
  6. Step 6: Final answer
    x = 141,345.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.