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Finding the Third Proportional to 508.31 and 844.69

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Solution

The third proportional to 508.31 and 844.69 is: 1,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.31 : 844.69 = 844.69 : x
  2. Step 2: Convert to fraction form
    508.31/844.69 = 844.69/x
  3. Step 3: Cross multiply
    508.31x = 844.69 × 844.69
  4. Step 4: Simplify right side
    508.31x = 713,496.97
  5. Step 5: Solve for x
    x = 713,496.97/508.31
  6. Step 6: Final answer
    x = 1,403.66

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.