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Finding the Third Proportional to 1,994.78 and 5,115.10

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Solution

The third proportional to 1,994.78 and 5,115.10 is: 13,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.78 : 5,115.10 = 5,115.10 : x
  2. Step 2: Convert to fraction form
    1,994.78/5,115.10 = 5,115.10/x
  3. Step 3: Cross multiply
    1,994.78x = 5,115.10 × 5,115.10
  4. Step 4: Simplify right side
    1,994.78x = 26,164,273.99
  5. Step 5: Solve for x
    x = 26,164,273.99/1,994.78
  6. Step 6: Final answer
    x = 13,116.35

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.