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Finding the Third Proportional to 117,399 and 228,918

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Solution

The third proportional to 117,399 and 228,918 is: 446,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,399 : 228,918 = 228,918 : x
  2. Step 2: Convert to fraction form
    117,399/228,918 = 228,918/x
  3. Step 3: Cross multiply
    117,399x = 228,918 × 228,918
  4. Step 4: Simplify right side
    117,399x = 52,403,450,724
  5. Step 5: Solve for x
    x = 52,403,450,724/117,399
  6. Step 6: Final answer
    x = 446,370.50

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.