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Finding the Third Proportional to 297.09 and 645.98

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Solution

The third proportional to 297.09 and 645.98 is: 1,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 645.98 = 645.98 : x
  2. Step 2: Convert to fraction form
    297.09/645.98 = 645.98/x
  3. Step 3: Cross multiply
    297.09x = 645.98 × 645.98
  4. Step 4: Simplify right side
    297.09x = 417,295.81
  5. Step 5: Solve for x
    x = 417,295.81/297.09
  6. Step 6: Final answer
    x = 1,404.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.