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Finding the Third Proportional to 424.38 and 619.94

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Solution

The third proportional to 424.38 and 619.94 is: 905.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.38 : 619.94 = 619.94 : x
  2. Step 2: Convert to fraction form
    424.38/619.94 = 619.94/x
  3. Step 3: Cross multiply
    424.38x = 619.94 × 619.94
  4. Step 4: Simplify right side
    424.38x = 384,322.50
  5. Step 5: Solve for x
    x = 384,322.50/424.38
  6. Step 6: Final answer
    x = 905.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.