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Finding the Third Proportional to 100,398 and 209,113

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Solution

The third proportional to 100,398 and 209,113 is: 435,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398 : 209,113 = 209,113 : x
  2. Step 2: Convert to fraction form
    100,398/209,113 = 209,113/x
  3. Step 3: Cross multiply
    100,398x = 209,113 × 209,113
  4. Step 4: Simplify right side
    100,398x = 43,728,246,769
  5. Step 5: Solve for x
    x = 43,728,246,769/100,398
  6. Step 6: Final answer
    x = 435,548.98

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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.