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Finding the Third Proportional to 83,284 and 109,344

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Solution

The third proportional to 83,284 and 109,344 is: 143,558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,284 : 109,344 = 109,344 : x
  2. Step 2: Convert to fraction form
    83,284/109,344 = 109,344/x
  3. Step 3: Cross multiply
    83,284x = 109,344 × 109,344
  4. Step 4: Simplify right side
    83,284x = 11,956,110,336
  5. Step 5: Solve for x
    x = 11,956,110,336/83,284
  6. Step 6: Final answer
    x = 143,558.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.