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Finding the Third Proportional to 4,087.78 and 8,828.91

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Solution

The third proportional to 4,087.78 and 8,828.91 is: 19,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.78 : 8,828.91 = 8,828.91 : x
  2. Step 2: Convert to fraction form
    4,087.78/8,828.91 = 8,828.91/x
  3. Step 3: Cross multiply
    4,087.78x = 8,828.91 × 8,828.91
  4. Step 4: Simplify right side
    4,087.78x = 77,949,585.57
  5. Step 5: Solve for x
    x = 77,949,585.57/4,087.78
  6. Step 6: Final answer
    x = 19,068.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.