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Finding the Third Proportional to 206,300 and 278,346

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Solution

The third proportional to 206,300 and 278,346 is: 375,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,300 : 278,346 = 278,346 : x
  2. Step 2: Convert to fraction form
    206,300/278,346 = 278,346/x
  3. Step 3: Cross multiply
    206,300x = 278,346 × 278,346
  4. Step 4: Simplify right side
    206,300x = 77,476,495,716
  5. Step 5: Solve for x
    x = 77,476,495,716/206,300
  6. Step 6: Final answer
    x = 375,552.57

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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.