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Finding the Third Proportional to 300.38 and 508.63

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Solution

The third proportional to 300.38 and 508.63 is: 861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.38 : 508.63 = 508.63 : x
  2. Step 2: Convert to fraction form
    300.38/508.63 = 508.63/x
  3. Step 3: Cross multiply
    300.38x = 508.63 × 508.63
  4. Step 4: Simplify right side
    300.38x = 258,699.39
  5. Step 5: Solve for x
    x = 258,699.39/300.38
  6. Step 6: Final answer
    x = 861.25

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.