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Finding the Third Proportional to 206,306 and 278,355

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Solution

The third proportional to 206,306 and 278,355 is: 375,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,306 : 278,355 = 278,355 : x
  2. Step 2: Convert to fraction form
    206,306/278,355 = 278,355/x
  3. Step 3: Cross multiply
    206,306x = 278,355 × 278,355
  4. Step 4: Simplify right side
    206,306x = 77,481,506,025
  5. Step 5: Solve for x
    x = 77,481,506,025/206,306
  6. Step 6: Final answer
    x = 375,565.94

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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.