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Finding the Third Proportional to 7,778.46 and 18,284.17

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Solution

The third proportional to 7,778.46 and 18,284.17 is: 42,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.46 : 18,284.17 = 18,284.17 : x
  2. Step 2: Convert to fraction form
    7,778.46/18,284.17 = 18,284.17/x
  3. Step 3: Cross multiply
    7,778.46x = 18,284.17 × 18,284.17
  4. Step 4: Simplify right side
    7,778.46x = 334,310,798.31
  5. Step 5: Solve for x
    x = 334,310,798.31/7,778.46
  6. Step 6: Final answer
    x = 42,979.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.