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Finding the Third Proportional to 137,723.33 and 212,812.83

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Solution

The third proportional to 137,723.33 and 212,812.83 is: 328,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,723.33 : 212,812.83 = 212,812.83 : x
  2. Step 2: Convert to fraction form
    137,723.33/212,812.83 = 212,812.83/x
  3. Step 3: Cross multiply
    137,723.33x = 212,812.83 × 212,812.83
  4. Step 4: Simplify right side
    137,723.33x = 45,289,299,191.09
  5. Step 5: Solve for x
    x = 45,289,299,191.09/137,723.33
  6. Step 6: Final answer
    x = 328,842.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.