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Finding the Third Proportional to 2,851.31 and 6,624.28

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Solution

The third proportional to 2,851.31 and 6,624.28 is: 15,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.31 : 6,624.28 = 6,624.28 : x
  2. Step 2: Convert to fraction form
    2,851.31/6,624.28 = 6,624.28/x
  3. Step 3: Cross multiply
    2,851.31x = 6,624.28 × 6,624.28
  4. Step 4: Simplify right side
    2,851.31x = 43,881,102.08
  5. Step 5: Solve for x
    x = 43,881,102.08/2,851.31
  6. Step 6: Final answer
    x = 15,389.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.