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Finding the Third Proportional to 64,134.50 and 98,662

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Solution

The third proportional to 64,134.50 and 98,662 is: 151,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,134.50 : 98,662 = 98,662 : x
  2. Step 2: Convert to fraction form
    64,134.50/98,662 = 98,662/x
  3. Step 3: Cross multiply
    64,134.50x = 98,662 × 98,662
  4. Step 4: Simplify right side
    64,134.50x = 9,734,190,244
  5. Step 5: Solve for x
    x = 9,734,190,244/64,134.50
  6. Step 6: Final answer
    x = 151,777.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.