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Finding the Third Proportional to 125,190 and 278,379

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Solution

The third proportional to 125,190 and 278,379 is: 619,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,190 : 278,379 = 278,379 : x
  2. Step 2: Convert to fraction form
    125,190/278,379 = 278,379/x
  3. Step 3: Cross multiply
    125,190x = 278,379 × 278,379
  4. Step 4: Simplify right side
    125,190x = 77,494,867,641
  5. Step 5: Solve for x
    x = 77,494,867,641/125,190
  6. Step 6: Final answer
    x = 619,018.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.