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Finding the Third Proportional to 390.60 and 841.96

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Solution

The third proportional to 390.60 and 841.96 is: 1,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.60 : 841.96 = 841.96 : x
  2. Step 2: Convert to fraction form
    390.60/841.96 = 841.96/x
  3. Step 3: Cross multiply
    390.60x = 841.96 × 841.96
  4. Step 4: Simplify right side
    390.60x = 708,891.64
  5. Step 5: Solve for x
    x = 708,891.64/390.60
  6. Step 6: Final answer
    x = 1,814.86

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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.