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Finding the Third Proportional to 297.74 and 609.71

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Solution

The third proportional to 297.74 and 609.71 is: 1,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.74 : 609.71 = 609.71 : x
  2. Step 2: Convert to fraction form
    297.74/609.71 = 609.71/x
  3. Step 3: Cross multiply
    297.74x = 609.71 × 609.71
  4. Step 4: Simplify right side
    297.74x = 371,752.19
  5. Step 5: Solve for x
    x = 371,752.19/297.74
  6. Step 6: Final answer
    x = 1,248.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.