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Finding the Third Proportional to 407.81 and 775.13

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Solution

The third proportional to 407.81 and 775.13 is: 1,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.81 : 775.13 = 775.13 : x
  2. Step 2: Convert to fraction form
    407.81/775.13 = 775.13/x
  3. Step 3: Cross multiply
    407.81x = 775.13 × 775.13
  4. Step 4: Simplify right side
    407.81x = 600,818.77
  5. Step 5: Solve for x
    x = 600,818.77/407.81
  6. Step 6: Final answer
    x = 1,473.27

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.