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Finding the Third Proportional to 390.48 and 824.87

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Solution

The third proportional to 390.48 and 824.87 is: 1,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.48 : 824.87 = 824.87 : x
  2. Step 2: Convert to fraction form
    390.48/824.87 = 824.87/x
  3. Step 3: Cross multiply
    390.48x = 824.87 × 824.87
  4. Step 4: Simplify right side
    390.48x = 680,412.32
  5. Step 5: Solve for x
    x = 680,412.32/390.48
  6. Step 6: Final answer
    x = 1,742.48

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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.