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Finding the Third Proportional to 90,729 and 132,925.50

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Solution

The third proportional to 90,729 and 132,925.50 is: 194,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,729 : 132,925.50 = 132,925.50 : x
  2. Step 2: Convert to fraction form
    90,729/132,925.50 = 132,925.50/x
  3. Step 3: Cross multiply
    90,729x = 132,925.50 × 132,925.50
  4. Step 4: Simplify right side
    90,729x = 17,669,188,550.25
  5. Step 5: Solve for x
    x = 17,669,188,550.25/90,729
  6. Step 6: Final answer
    x = 194,746.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.