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Finding the Third Proportional to 114,678 and 243,286

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Solution

The third proportional to 114,678 and 243,286 is: 516,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,678 : 243,286 = 243,286 : x
  2. Step 2: Convert to fraction form
    114,678/243,286 = 243,286/x
  3. Step 3: Cross multiply
    114,678x = 243,286 × 243,286
  4. Step 4: Simplify right side
    114,678x = 59,188,077,796
  5. Step 5: Solve for x
    x = 59,188,077,796/114,678
  6. Step 6: Final answer
    x = 516,124.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.