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Finding the Third Proportional to 90,729 and 134,797.50

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Solution

The third proportional to 90,729 and 134,797.50 is: 200,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,729 : 134,797.50 = 134,797.50 : x
  2. Step 2: Convert to fraction form
    90,729/134,797.50 = 134,797.50/x
  3. Step 3: Cross multiply
    90,729x = 134,797.50 × 134,797.50
  4. Step 4: Simplify right side
    90,729x = 18,170,366,006.25
  5. Step 5: Solve for x
    x = 18,170,366,006.25/90,729
  6. Step 6: Final answer
    x = 200,270.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.