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Finding the Third Proportional to 278,129 and 605,830

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Solution

The third proportional to 278,129 and 605,830 is: 1,319,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,129 : 605,830 = 605,830 : x
  2. Step 2: Convert to fraction form
    278,129/605,830 = 605,830/x
  3. Step 3: Cross multiply
    278,129x = 605,830 × 605,830
  4. Step 4: Simplify right side
    278,129x = 367,029,988,900
  5. Step 5: Solve for x
    x = 367,029,988,900/278,129
  6. Step 6: Final answer
    x = 1,319,639.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.