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Finding the Third Proportional to 297.94 and 653.81

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Solution

The third proportional to 297.94 and 653.81 is: 1,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.94 : 653.81 = 653.81 : x
  2. Step 2: Convert to fraction form
    297.94/653.81 = 653.81/x
  3. Step 3: Cross multiply
    297.94x = 653.81 × 653.81
  4. Step 4: Simplify right side
    297.94x = 427,470.79
  5. Step 5: Solve for x
    x = 427,470.79/297.94
  6. Step 6: Final answer
    x = 1,434.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.