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Finding the Third Proportional to 377.13 and 569.69

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Solution

The third proportional to 377.13 and 569.69 is: 860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.13 : 569.69 = 569.69 : x
  2. Step 2: Convert to fraction form
    377.13/569.69 = 569.69/x
  3. Step 3: Cross multiply
    377.13x = 569.69 × 569.69
  4. Step 4: Simplify right side
    377.13x = 324,543.85
  5. Step 5: Solve for x
    x = 324,543.85/377.13
  6. Step 6: Final answer
    x = 860.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.