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Finding the Third Proportional to 185,978 and 278,248

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Solution

The third proportional to 185,978 and 278,248 is: 416,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,978 : 278,248 = 278,248 : x
  2. Step 2: Convert to fraction form
    185,978/278,248 = 278,248/x
  3. Step 3: Cross multiply
    185,978x = 278,248 × 278,248
  4. Step 4: Simplify right side
    185,978x = 77,421,949,504
  5. Step 5: Solve for x
    x = 77,421,949,504/185,978
  6. Step 6: Final answer
    x = 416,296.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.