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Finding the Third Proportional to 155,965.75 and 319,321.75

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Solution

The third proportional to 155,965.75 and 319,321.75 is: 653,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,965.75 : 319,321.75 = 319,321.75 : x
  2. Step 2: Convert to fraction form
    155,965.75/319,321.75 = 319,321.75/x
  3. Step 3: Cross multiply
    155,965.75x = 319,321.75 × 319,321.75
  4. Step 4: Simplify right side
    155,965.75x = 101,966,380,023.06
  5. Step 5: Solve for x
    x = 101,966,380,023.06/155,965.75
  6. Step 6: Final answer
    x = 653,774.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.