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Finding the Third Proportional to 265.91 and 391.16

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Solution

The third proportional to 265.91 and 391.16 is: 575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.91 : 391.16 = 391.16 : x
  2. Step 2: Convert to fraction form
    265.91/391.16 = 391.16/x
  3. Step 3: Cross multiply
    265.91x = 391.16 × 391.16
  4. Step 4: Simplify right side
    265.91x = 153,003.21
  5. Step 5: Solve for x
    x = 153,003.21/265.91
  6. Step 6: Final answer
    x = 575.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.