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Finding the Third Proportional to 138,900.19 and 210,286.69

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Solution

The third proportional to 138,900.19 and 210,286.69 is: 318,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,900.19 : 210,286.69 = 210,286.69 : x
  2. Step 2: Convert to fraction form
    138,900.19/210,286.69 = 210,286.69/x
  3. Step 3: Cross multiply
    138,900.19x = 210,286.69 × 210,286.69
  4. Step 4: Simplify right side
    138,900.19x = 44,220,490,939.72
  5. Step 5: Solve for x
    x = 44,220,490,939.72/138,900.19
  6. Step 6: Final answer
    x = 318,361.64

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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.