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Finding the Third Proportional to 508.31 and 753.66

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Solution

The third proportional to 508.31 and 753.66 is: 1,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.31 : 753.66 = 753.66 : x
  2. Step 2: Convert to fraction form
    508.31/753.66 = 753.66/x
  3. Step 3: Cross multiply
    508.31x = 753.66 × 753.66
  4. Step 4: Simplify right side
    508.31x = 567,997.74
  5. Step 5: Solve for x
    x = 567,997.74/508.31
  6. Step 6: Final answer
    x = 1,117.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.