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Finding the Third Proportional to 63,886 and 136,529

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Solution

The third proportional to 63,886 and 136,529 is: 291,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,886 : 136,529 = 136,529 : x
  2. Step 2: Convert to fraction form
    63,886/136,529 = 136,529/x
  3. Step 3: Cross multiply
    63,886x = 136,529 × 136,529
  4. Step 4: Simplify right side
    63,886x = 18,640,167,841
  5. Step 5: Solve for x
    x = 18,640,167,841/63,886
  6. Step 6: Final answer
    x = 291,772.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.