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Finding the Third Proportional to 319.85 and 508.62

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Solution

The third proportional to 319.85 and 508.62 is: 808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.85 : 508.62 = 508.62 : x
  2. Step 2: Convert to fraction form
    319.85/508.62 = 508.62/x
  3. Step 3: Cross multiply
    319.85x = 508.62 × 508.62
  4. Step 4: Simplify right side
    319.85x = 258,697.40
  5. Step 5: Solve for x
    x = 258,697.40/319.85
  6. Step 6: Final answer
    x = 808.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.