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Finding the Third Proportional to 209,928 and 328,368

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Solution

The third proportional to 209,928 and 328,368 is: 513,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,928 : 328,368 = 328,368 : x
  2. Step 2: Convert to fraction form
    209,928/328,368 = 328,368/x
  3. Step 3: Cross multiply
    209,928x = 328,368 × 328,368
  4. Step 4: Simplify right side
    209,928x = 107,825,543,424
  5. Step 5: Solve for x
    x = 107,825,543,424/209,928
  6. Step 6: Final answer
    x = 513,631.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.