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Finding the Third Proportional to 75,111 and 105,649

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Solution

The third proportional to 75,111 and 105,649 is: 148,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,111 : 105,649 = 105,649 : x
  2. Step 2: Convert to fraction form
    75,111/105,649 = 105,649/x
  3. Step 3: Cross multiply
    75,111x = 105,649 × 105,649
  4. Step 4: Simplify right side
    75,111x = 11,161,711,201
  5. Step 5: Solve for x
    x = 11,161,711,201/75,111
  6. Step 6: Final answer
    x = 148,602.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.