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Finding the Third Proportional to 62,309 and 135,135

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Solution

The third proportional to 62,309 and 135,135 is: 293,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,309 : 135,135 = 135,135 : x
  2. Step 2: Convert to fraction form
    62,309/135,135 = 135,135/x
  3. Step 3: Cross multiply
    62,309x = 135,135 × 135,135
  4. Step 4: Simplify right side
    62,309x = 18,261,468,225
  5. Step 5: Solve for x
    x = 18,261,468,225/62,309
  6. Step 6: Final answer
    x = 293,079.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.