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Finding the Third Proportional to 155,955 and 328,206.75

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Solution

The third proportional to 155,955 and 328,206.75 is: 690,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,955 : 328,206.75 = 328,206.75 : x
  2. Step 2: Convert to fraction form
    155,955/328,206.75 = 328,206.75/x
  3. Step 3: Cross multiply
    155,955x = 328,206.75 × 328,206.75
  4. Step 4: Simplify right side
    155,955x = 107,719,670,745.56
  5. Step 5: Solve for x
    x = 107,719,670,745.56/155,955
  6. Step 6: Final answer
    x = 690,709.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.