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Finding the Third Proportional to 206,308 and 278,358

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Solution

The third proportional to 206,308 and 278,358 is: 375,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,308 : 278,358 = 278,358 : x
  2. Step 2: Convert to fraction form
    206,308/278,358 = 278,358/x
  3. Step 3: Cross multiply
    206,308x = 278,358 × 278,358
  4. Step 4: Simplify right side
    206,308x = 77,483,176,164
  5. Step 5: Solve for x
    x = 77,483,176,164/206,308
  6. Step 6: Final answer
    x = 375,570.39

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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.