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Finding the Third Proportional to 565.69 and 803.53

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Solution

The third proportional to 565.69 and 803.53 is: 1,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.69 : 803.53 = 803.53 : x
  2. Step 2: Convert to fraction form
    565.69/803.53 = 803.53/x
  3. Step 3: Cross multiply
    565.69x = 803.53 × 803.53
  4. Step 4: Simplify right side
    565.69x = 645,662.47
  5. Step 5: Solve for x
    x = 645,662.47/565.69
  6. Step 6: Final answer
    x = 1,141.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.