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Finding the Third Proportional to 78,810 and 108,373

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Solution

The third proportional to 78,810 and 108,373 is: 149,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,810 : 108,373 = 108,373 : x
  2. Step 2: Convert to fraction form
    78,810/108,373 = 108,373/x
  3. Step 3: Cross multiply
    78,810x = 108,373 × 108,373
  4. Step 4: Simplify right side
    78,810x = 11,744,707,129
  5. Step 5: Solve for x
    x = 11,744,707,129/78,810
  6. Step 6: Final answer
    x = 149,025.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.