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Finding the Third Proportional to 107,918 and 228,986

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Solution

The third proportional to 107,918 and 228,986 is: 485,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,918 : 228,986 = 228,986 : x
  2. Step 2: Convert to fraction form
    107,918/228,986 = 228,986/x
  3. Step 3: Cross multiply
    107,918x = 228,986 × 228,986
  4. Step 4: Simplify right side
    107,918x = 52,434,588,196
  5. Step 5: Solve for x
    x = 52,434,588,196/107,918
  6. Step 6: Final answer
    x = 485,874.35

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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.