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Finding the Third Proportional to 109,972 and 165,438

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Solution

The third proportional to 109,972 and 165,438 is: 248,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,972 : 165,438 = 165,438 : x
  2. Step 2: Convert to fraction form
    109,972/165,438 = 165,438/x
  3. Step 3: Cross multiply
    109,972x = 165,438 × 165,438
  4. Step 4: Simplify right side
    109,972x = 27,369,731,844
  5. Step 5: Solve for x
    x = 27,369,731,844/109,972
  6. Step 6: Final answer
    x = 248,879.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.