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Finding the Third Proportional to 113,999 and 247,678

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Solution

The third proportional to 113,999 and 247,678 is: 538,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,999 : 247,678 = 247,678 : x
  2. Step 2: Convert to fraction form
    113,999/247,678 = 247,678/x
  3. Step 3: Cross multiply
    113,999x = 247,678 × 247,678
  4. Step 4: Simplify right side
    113,999x = 61,344,391,684
  5. Step 5: Solve for x
    x = 61,344,391,684/113,999
  6. Step 6: Final answer
    x = 538,113.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.