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Finding the Third Proportional to 206,141.63 and 315,343.13

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Solution

The third proportional to 206,141.63 and 315,343.13 is: 482,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,141.63 : 315,343.13 = 315,343.13 : x
  2. Step 2: Convert to fraction form
    206,141.63/315,343.13 = 315,343.13/x
  3. Step 3: Cross multiply
    206,141.63x = 315,343.13 × 315,343.13
  4. Step 4: Simplify right side
    206,141.63x = 99,441,286,484.77
  5. Step 5: Solve for x
    x = 99,441,286,484.77/206,141.63
  6. Step 6: Final answer
    x = 482,393.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.