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Finding the Third Proportional to 90,566 and 133,074

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Solution

The third proportional to 90,566 and 133,074 is: 195,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,566 : 133,074 = 133,074 : x
  2. Step 2: Convert to fraction form
    90,566/133,074 = 133,074/x
  3. Step 3: Cross multiply
    90,566x = 133,074 × 133,074
  4. Step 4: Simplify right side
    90,566x = 17,708,689,476
  5. Step 5: Solve for x
    x = 17,708,689,476/90,566
  6. Step 6: Final answer
    x = 195,533.53

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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.