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Finding the Third Proportional to 400.36 and 526.92

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Solution

The third proportional to 400.36 and 526.92 is: 693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.36 : 526.92 = 526.92 : x
  2. Step 2: Convert to fraction form
    400.36/526.92 = 526.92/x
  3. Step 3: Cross multiply
    400.36x = 526.92 × 526.92
  4. Step 4: Simplify right side
    400.36x = 277,646.66
  5. Step 5: Solve for x
    x = 277,646.66/400.36
  6. Step 6: Final answer
    x = 693.49

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.