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Finding the Third Proportional to 413,912.53 and 556,249.78

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Solution

The third proportional to 413,912.53 and 556,249.78 is: 747,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,912.53 : 556,249.78 = 556,249.78 : x
  2. Step 2: Convert to fraction form
    413,912.53/556,249.78 = 556,249.78/x
  3. Step 3: Cross multiply
    413,912.53x = 556,249.78 × 556,249.78
  4. Step 4: Simplify right side
    413,912.53x = 309,413,819,140.67
  5. Step 5: Solve for x
    x = 309,413,819,140.67/413,912.53
  6. Step 6: Final answer
    x = 747,534.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.