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Finding the Third Proportional to 64,505 and 99,631

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Solution

The third proportional to 64,505 and 99,631 is: 153,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505 : 99,631 = 99,631 : x
  2. Step 2: Convert to fraction form
    64,505/99,631 = 99,631/x
  3. Step 3: Cross multiply
    64,505x = 99,631 × 99,631
  4. Step 4: Simplify right side
    64,505x = 9,926,336,161
  5. Step 5: Solve for x
    x = 9,926,336,161/64,505
  6. Step 6: Final answer
    x = 153,884.76

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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.