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Finding the Third Proportional to 63,711 and 135,018

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Solution

The third proportional to 63,711 and 135,018 is: 286,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,711 : 135,018 = 135,018 : x
  2. Step 2: Convert to fraction form
    63,711/135,018 = 135,018/x
  3. Step 3: Cross multiply
    63,711x = 135,018 × 135,018
  4. Step 4: Simplify right side
    63,711x = 18,229,860,324
  5. Step 5: Solve for x
    x = 18,229,860,324/63,711
  6. Step 6: Final answer
    x = 286,133.64

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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.