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Finding the Third Proportional to 63,127 and 135,121

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Solution

The third proportional to 63,127 and 135,121 is: 289,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,127 : 135,121 = 135,121 : x
  2. Step 2: Convert to fraction form
    63,127/135,121 = 135,121/x
  3. Step 3: Cross multiply
    63,127x = 135,121 × 135,121
  4. Step 4: Simplify right side
    63,127x = 18,257,684,641
  5. Step 5: Solve for x
    x = 18,257,684,641/63,127
  6. Step 6: Final answer
    x = 289,221.48

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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.