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Finding the Third Proportional to 135,681 and 217,921.50

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Solution

The third proportional to 135,681 and 217,921.50 is: 350,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,681 : 217,921.50 = 217,921.50 : x
  2. Step 2: Convert to fraction form
    135,681/217,921.50 = 217,921.50/x
  3. Step 3: Cross multiply
    135,681x = 217,921.50 × 217,921.50
  4. Step 4: Simplify right side
    135,681x = 47,489,780,162.25
  5. Step 5: Solve for x
    x = 47,489,780,162.25/135,681
  6. Step 6: Final answer
    x = 350,010.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.