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Finding the Third Proportional to 278,786 and 613,840

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Solution

The third proportional to 278,786 and 613,840 is: 1,351,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,786 : 613,840 = 613,840 : x
  2. Step 2: Convert to fraction form
    278,786/613,840 = 613,840/x
  3. Step 3: Cross multiply
    278,786x = 613,840 × 613,840
  4. Step 4: Simplify right side
    278,786x = 376,799,545,600
  5. Step 5: Solve for x
    x = 376,799,545,600/278,786
  6. Step 6: Final answer
    x = 1,351,572.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.