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Finding the Third Proportional to 183,694 and 278,309

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Solution

The third proportional to 183,694 and 278,309 is: 421,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,694 : 278,309 = 278,309 : x
  2. Step 2: Convert to fraction form
    183,694/278,309 = 278,309/x
  3. Step 3: Cross multiply
    183,694x = 278,309 × 278,309
  4. Step 4: Simplify right side
    183,694x = 77,455,899,481
  5. Step 5: Solve for x
    x = 77,455,899,481/183,694
  6. Step 6: Final answer
    x = 421,657.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.