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Finding the Third Proportional to 4,873.92 and 7,278.40

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Solution

The third proportional to 4,873.92 and 7,278.40 is: 10,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.92 : 7,278.40 = 7,278.40 : x
  2. Step 2: Convert to fraction form
    4,873.92/7,278.40 = 7,278.40/x
  3. Step 3: Cross multiply
    4,873.92x = 7,278.40 × 7,278.40
  4. Step 4: Simplify right side
    4,873.92x = 52,975,083.82
  5. Step 5: Solve for x
    x = 52,975,083.82/4,873.92
  6. Step 6: Final answer
    x = 10,869.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.