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Finding the Third Proportional to 183,671 and 278,279

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Solution

The third proportional to 183,671 and 278,279 is: 421,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,671 : 278,279 = 278,279 : x
  2. Step 2: Convert to fraction form
    183,671/278,279 = 278,279/x
  3. Step 3: Cross multiply
    183,671x = 278,279 × 278,279
  4. Step 4: Simplify right side
    183,671x = 77,439,201,841
  5. Step 5: Solve for x
    x = 77,439,201,841/183,671
  6. Step 6: Final answer
    x = 421,619.10

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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.