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Finding the Third Proportional to 99,117 and 207,927

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Solution

The third proportional to 99,117 and 207,927 is: 436,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,117 : 207,927 = 207,927 : x
  2. Step 2: Convert to fraction form
    99,117/207,927 = 207,927/x
  3. Step 3: Cross multiply
    99,117x = 207,927 × 207,927
  4. Step 4: Simplify right side
    99,117x = 43,233,637,329
  5. Step 5: Solve for x
    x = 43,233,637,329/99,117
  6. Step 6: Final answer
    x = 436,187.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.