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Finding the Third Proportional to 297.84 and 653.91

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Solution

The third proportional to 297.84 and 653.91 is: 1,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.84 : 653.91 = 653.91 : x
  2. Step 2: Convert to fraction form
    297.84/653.91 = 653.91/x
  3. Step 3: Cross multiply
    297.84x = 653.91 × 653.91
  4. Step 4: Simplify right side
    297.84x = 427,593.38
  5. Step 5: Solve for x
    x = 427,593.38/297.84
  6. Step 6: Final answer
    x = 1,435.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.