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Finding the Third Proportional to 278.06 and 389.91

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Solution

The third proportional to 278.06 and 389.91 is: 546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 389.91 = 389.91 : x
  2. Step 2: Convert to fraction form
    278.06/389.91 = 389.91/x
  3. Step 3: Cross multiply
    278.06x = 389.91 × 389.91
  4. Step 4: Simplify right side
    278.06x = 152,026.88
  5. Step 5: Solve for x
    x = 152,026.88/278.06
  6. Step 6: Final answer
    x = 546.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.