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Finding the Third Proportional to 278,146 and 377,837

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Solution

The third proportional to 278,146 and 377,837 is: 513,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,146 : 377,837 = 377,837 : x
  2. Step 2: Convert to fraction form
    278,146/377,837 = 377,837/x
  3. Step 3: Cross multiply
    278,146x = 377,837 × 377,837
  4. Step 4: Simplify right side
    278,146x = 142,760,798,569
  5. Step 5: Solve for x
    x = 142,760,798,569/278,146
  6. Step 6: Final answer
    x = 513,258.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.