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Finding the Third Proportional to 390.80 and 833.91

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Solution

The third proportional to 390.80 and 833.91 is: 1,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.80 : 833.91 = 833.91 : x
  2. Step 2: Convert to fraction form
    390.80/833.91 = 833.91/x
  3. Step 3: Cross multiply
    390.80x = 833.91 × 833.91
  4. Step 4: Simplify right side
    390.80x = 695,399.63
  5. Step 5: Solve for x
    x = 695,399.63/390.80
  6. Step 6: Final answer
    x = 1,779.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.