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Finding the Third Proportional to 78,262 and 104,845.50

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Solution

The third proportional to 78,262 and 104,845.50 is: 140,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,262 : 104,845.50 = 104,845.50 : x
  2. Step 2: Convert to fraction form
    78,262/104,845.50 = 104,845.50/x
  3. Step 3: Cross multiply
    78,262x = 104,845.50 × 104,845.50
  4. Step 4: Simplify right side
    78,262x = 10,992,578,870.25
  5. Step 5: Solve for x
    x = 10,992,578,870.25/78,262
  6. Step 6: Final answer
    x = 140,458.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.