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Finding the Third Proportional to 109,970 and 165,979

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Solution

The third proportional to 109,970 and 165,979 is: 250,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,970 : 165,979 = 165,979 : x
  2. Step 2: Convert to fraction form
    109,970/165,979 = 165,979/x
  3. Step 3: Cross multiply
    109,970x = 165,979 × 165,979
  4. Step 4: Simplify right side
    109,970x = 27,549,028,441
  5. Step 5: Solve for x
    x = 27,549,028,441/109,970
  6. Step 6: Final answer
    x = 250,514.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.