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Finding the Third Proportional to 393,832.13 and 434,433.38

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Solution

The third proportional to 393,832.13 and 434,433.38 is: 479,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,832.13 : 434,433.38 = 434,433.38 : x
  2. Step 2: Convert to fraction form
    393,832.13/434,433.38 = 434,433.38/x
  3. Step 3: Cross multiply
    393,832.13x = 434,433.38 × 434,433.38
  4. Step 4: Simplify right side
    393,832.13x = 188,732,357,313.89
  5. Step 5: Solve for x
    x = 188,732,357,313.89/393,832.13
  6. Step 6: Final answer
    x = 479,220.32

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.