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Finding the Third Proportional to 64,432 and 90,734

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Solution

The third proportional to 64,432 and 90,734 is: 127,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,432 : 90,734 = 90,734 : x
  2. Step 2: Convert to fraction form
    64,432/90,734 = 90,734/x
  3. Step 3: Cross multiply
    64,432x = 90,734 × 90,734
  4. Step 4: Simplify right side
    64,432x = 8,232,658,756
  5. Step 5: Solve for x
    x = 8,232,658,756/64,432
  6. Step 6: Final answer
    x = 127,772.83

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Why These Related Problems?

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