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Finding the Third Proportional to 63,986 and 99,603

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Solution

The third proportional to 63,986 and 99,603 is: 155,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,986 : 99,603 = 99,603 : x
  2. Step 2: Convert to fraction form
    63,986/99,603 = 99,603/x
  3. Step 3: Cross multiply
    63,986x = 99,603 × 99,603
  4. Step 4: Simplify right side
    63,986x = 9,920,757,609
  5. Step 5: Solve for x
    x = 9,920,757,609/63,986
  6. Step 6: Final answer
    x = 155,045.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.