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Finding the Third Proportional to 138,861.84 and 210,240.56

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Solution

The third proportional to 138,861.84 and 210,240.56 is: 318,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,861.84 : 210,240.56 = 210,240.56 : x
  2. Step 2: Convert to fraction form
    138,861.84/210,240.56 = 210,240.56/x
  3. Step 3: Cross multiply
    138,861.84x = 210,240.56 × 210,240.56
  4. Step 4: Simplify right side
    138,861.84x = 44,201,094,120.32
  5. Step 5: Solve for x
    x = 44,201,094,120.32/138,861.84
  6. Step 6: Final answer
    x = 318,309.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.