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Finding the Third Proportional to 278.50 and 486

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Solution

The third proportional to 278.50 and 486 is: 848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.50 : 486 = 486 : x
  2. Step 2: Convert to fraction form
    278.50/486 = 486/x
  3. Step 3: Cross multiply
    278.50x = 486 × 486
  4. Step 4: Simplify right side
    278.50x = 236,196
  5. Step 5: Solve for x
    x = 236,196/278.50
  6. Step 6: Final answer
    x = 848.10

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.