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Finding the Third Proportional to 206,312 and 278,364

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Solution

The third proportional to 206,312 and 278,364 is: 375,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,312 : 278,364 = 278,364 : x
  2. Step 2: Convert to fraction form
    206,312/278,364 = 278,364/x
  3. Step 3: Cross multiply
    206,312x = 278,364 × 278,364
  4. Step 4: Simplify right side
    206,312x = 77,486,516,496
  5. Step 5: Solve for x
    x = 77,486,516,496/206,312
  6. Step 6: Final answer
    x = 375,579.30

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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.