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Finding the Third Proportional to 80,610 and 113,317.50

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Solution

The third proportional to 80,610 and 113,317.50 is: 159,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,610 : 113,317.50 = 113,317.50 : x
  2. Step 2: Convert to fraction form
    80,610/113,317.50 = 113,317.50/x
  3. Step 3: Cross multiply
    80,610x = 113,317.50 × 113,317.50
  4. Step 4: Simplify right side
    80,610x = 12,840,855,806.25
  5. Step 5: Solve for x
    x = 12,840,855,806.25/80,610
  6. Step 6: Final answer
    x = 159,296.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.