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Finding the Third Proportional to 228,620 and 308,397

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Solution

The third proportional to 228,620 and 308,397 is: 416,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,620 : 308,397 = 308,397 : x
  2. Step 2: Convert to fraction form
    228,620/308,397 = 308,397/x
  3. Step 3: Cross multiply
    228,620x = 308,397 × 308,397
  4. Step 4: Simplify right side
    228,620x = 95,108,709,609
  5. Step 5: Solve for x
    x = 95,108,709,609/228,620
  6. Step 6: Final answer
    x = 416,012.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.