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Finding the Third Proportional to 243,344.25 and 520,317

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Solution

The third proportional to 243,344.25 and 520,317 is: 1,112,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,344.25 : 520,317 = 520,317 : x
  2. Step 2: Convert to fraction form
    243,344.25/520,317 = 520,317/x
  3. Step 3: Cross multiply
    243,344.25x = 520,317 × 520,317
  4. Step 4: Simplify right side
    243,344.25x = 270,729,780,489
  5. Step 5: Solve for x
    x = 270,729,780,489/243,344.25
  6. Step 6: Final answer
    x = 1,112,538.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.