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Finding the Third Proportional to 100,397 and 209,117

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Solution

The third proportional to 100,397 and 209,117 is: 435,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,397 : 209,117 = 209,117 : x
  2. Step 2: Convert to fraction form
    100,397/209,117 = 209,117/x
  3. Step 3: Cross multiply
    100,397x = 209,117 × 209,117
  4. Step 4: Simplify right side
    100,397x = 43,729,919,689
  5. Step 5: Solve for x
    x = 43,729,919,689/100,397
  6. Step 6: Final answer
    x = 435,569.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.