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Finding the Third Proportional to 63,948 and 135,689

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Solution

The third proportional to 63,948 and 135,689 is: 287,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,948 : 135,689 = 135,689 : x
  2. Step 2: Convert to fraction form
    63,948/135,689 = 135,689/x
  3. Step 3: Cross multiply
    63,948x = 135,689 × 135,689
  4. Step 4: Simplify right side
    63,948x = 18,411,504,721
  5. Step 5: Solve for x
    x = 18,411,504,721/63,948
  6. Step 6: Final answer
    x = 287,913.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.