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Finding the Third Proportional to 71,910 and 108,870.75

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Solution

The third proportional to 71,910 and 108,870.75 is: 164,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,910 : 108,870.75 = 108,870.75 : x
  2. Step 2: Convert to fraction form
    71,910/108,870.75 = 108,870.75/x
  3. Step 3: Cross multiply
    71,910x = 108,870.75 × 108,870.75
  4. Step 4: Simplify right side
    71,910x = 11,852,840,205.56
  5. Step 5: Solve for x
    x = 11,852,840,205.56/71,910
  6. Step 6: Final answer
    x = 164,828.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.