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Finding the Third Proportional to 63,715 and 135,026

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Solution

The third proportional to 63,715 and 135,026 is: 286,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,715 : 135,026 = 135,026 : x
  2. Step 2: Convert to fraction form
    63,715/135,026 = 135,026/x
  3. Step 3: Cross multiply
    63,715x = 135,026 × 135,026
  4. Step 4: Simplify right side
    63,715x = 18,232,020,676
  5. Step 5: Solve for x
    x = 18,232,020,676/63,715
  6. Step 6: Final answer
    x = 286,149.58

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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.