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Finding the Third Proportional to 42,352 and 91,086

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Solution

The third proportional to 42,352 and 91,086 is: 195,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,352 : 91,086 = 91,086 : x
  2. Step 2: Convert to fraction form
    42,352/91,086 = 91,086/x
  3. Step 3: Cross multiply
    42,352x = 91,086 × 91,086
  4. Step 4: Simplify right side
    42,352x = 8,296,659,396
  5. Step 5: Solve for x
    x = 8,296,659,396/42,352
  6. Step 6: Final answer
    x = 195,897.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.