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Finding the Third Proportional to 63,065 and 135,424

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Solution

The third proportional to 63,065 and 135,424 is: 290,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,065 : 135,424 = 135,424 : x
  2. Step 2: Convert to fraction form
    63,065/135,424 = 135,424/x
  3. Step 3: Cross multiply
    63,065x = 135,424 × 135,424
  4. Step 4: Simplify right side
    63,065x = 18,339,659,776
  5. Step 5: Solve for x
    x = 18,339,659,776/63,065
  6. Step 6: Final answer
    x = 290,805.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.