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Finding the Third Proportional to 285.38 and 501.13

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Solution

The third proportional to 285.38 and 501.13 is: 879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.38 : 501.13 = 501.13 : x
  2. Step 2: Convert to fraction form
    285.38/501.13 = 501.13/x
  3. Step 3: Cross multiply
    285.38x = 501.13 × 501.13
  4. Step 4: Simplify right side
    285.38x = 251,126.27
  5. Step 5: Solve for x
    x = 251,126.27/285.38
  6. Step 6: Final answer
    x = 879.99

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.