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Finding the Third Proportional to 99,678 and 171,981

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Solution

The third proportional to 99,678 and 171,981 is: 296,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,678 : 171,981 = 171,981 : x
  2. Step 2: Convert to fraction form
    99,678/171,981 = 171,981/x
  3. Step 3: Cross multiply
    99,678x = 171,981 × 171,981
  4. Step 4: Simplify right side
    99,678x = 29,577,464,361
  5. Step 5: Solve for x
    x = 29,577,464,361/99,678
  6. Step 6: Final answer
    x = 296,730.11

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.