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Finding the Third Proportional to 390.56 and 824.44

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Solution

The third proportional to 390.56 and 824.44 is: 1,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.56 : 824.44 = 824.44 : x
  2. Step 2: Convert to fraction form
    390.56/824.44 = 824.44/x
  3. Step 3: Cross multiply
    390.56x = 824.44 × 824.44
  4. Step 4: Simplify right side
    390.56x = 679,697.19
  5. Step 5: Solve for x
    x = 679,697.19/390.56
  6. Step 6: Final answer
    x = 1,740.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.