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Finding the Third Proportional to 377.16 and 565.42

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Solution

The third proportional to 377.16 and 565.42 is: 847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.16 : 565.42 = 565.42 : x
  2. Step 2: Convert to fraction form
    377.16/565.42 = 565.42/x
  3. Step 3: Cross multiply
    377.16x = 565.42 × 565.42
  4. Step 4: Simplify right side
    377.16x = 319,697.48
  5. Step 5: Solve for x
    x = 319,697.48/377.16
  6. Step 6: Final answer
    x = 847.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.