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Finding the Third Proportional to 303,399 and 665,118

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Solution

The third proportional to 303,399 and 665,118 is: 1,458,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,399 : 665,118 = 665,118 : x
  2. Step 2: Convert to fraction form
    303,399/665,118 = 665,118/x
  3. Step 3: Cross multiply
    303,399x = 665,118 × 665,118
  4. Step 4: Simplify right side
    303,399x = 442,381,953,924
  5. Step 5: Solve for x
    x = 442,381,953,924/303,399
  6. Step 6: Final answer
    x = 1,458,086.39

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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.