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Finding the Third Proportional to 206,407.13 and 315,765.56

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Solution

The third proportional to 206,407.13 and 315,765.56 is: 483,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,407.13 : 315,765.56 = 315,765.56 : x
  2. Step 2: Convert to fraction form
    206,407.13/315,765.56 = 315,765.56/x
  3. Step 3: Cross multiply
    206,407.13x = 315,765.56 × 315,765.56
  4. Step 4: Simplify right side
    206,407.13x = 99,707,890,460.94
  5. Step 5: Solve for x
    x = 99,707,890,460.94/206,407.13
  6. Step 6: Final answer
    x = 483,064.19

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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.