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Finding the Third Proportional to 206,316 and 278,368

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Solution

The third proportional to 206,316 and 278,368 is: 375,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,316 : 278,368 = 278,368 : x
  2. Step 2: Convert to fraction form
    206,316/278,368 = 278,368/x
  3. Step 3: Cross multiply
    206,316x = 278,368 × 278,368
  4. Step 4: Simplify right side
    206,316x = 77,488,743,424
  5. Step 5: Solve for x
    x = 77,488,743,424/206,316
  6. Step 6: Final answer
    x = 375,582.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.