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Finding the Third Proportional to 64,489 and 99,649

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Solution

The third proportional to 64,489 and 99,649 is: 153,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,489 : 99,649 = 99,649 : x
  2. Step 2: Convert to fraction form
    64,489/99,649 = 99,649/x
  3. Step 3: Cross multiply
    64,489x = 99,649 × 99,649
  4. Step 4: Simplify right side
    64,489x = 9,929,923,201
  5. Step 5: Solve for x
    x = 9,929,923,201/64,489
  6. Step 6: Final answer
    x = 153,978.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.