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Finding the Third Proportional to 78,815 and 103,458

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Solution

The third proportional to 78,815 and 103,458 is: 135,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,815 : 103,458 = 103,458 : x
  2. Step 2: Convert to fraction form
    78,815/103,458 = 103,458/x
  3. Step 3: Cross multiply
    78,815x = 103,458 × 103,458
  4. Step 4: Simplify right side
    78,815x = 10,703,557,764
  5. Step 5: Solve for x
    x = 10,703,557,764/78,815
  6. Step 6: Final answer
    x = 135,806.10

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