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Finding the Third Proportional to 96,999 and 209,289

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Solution

The third proportional to 96,999 and 209,289 is: 451,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,999 : 209,289 = 209,289 : x
  2. Step 2: Convert to fraction form
    96,999/209,289 = 209,289/x
  3. Step 3: Cross multiply
    96,999x = 209,289 × 209,289
  4. Step 4: Simplify right side
    96,999x = 43,801,885,521
  5. Step 5: Solve for x
    x = 43,801,885,521/96,999
  6. Step 6: Final answer
    x = 451,570.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.