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Finding the Third Proportional to 64,550 and 90,741

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Solution

The third proportional to 64,550 and 90,741 is: 127,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,550 : 90,741 = 90,741 : x
  2. Step 2: Convert to fraction form
    64,550/90,741 = 90,741/x
  3. Step 3: Cross multiply
    64,550x = 90,741 × 90,741
  4. Step 4: Simplify right side
    64,550x = 8,233,929,081
  5. Step 5: Solve for x
    x = 8,233,929,081/64,550
  6. Step 6: Final answer
    x = 127,558.93

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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.