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Finding the Third Proportional to 129,603 and 284,118

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Solution

The third proportional to 129,603 and 284,118 is: 622,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,603 : 284,118 = 284,118 : x
  2. Step 2: Convert to fraction form
    129,603/284,118 = 284,118/x
  3. Step 3: Cross multiply
    129,603x = 284,118 × 284,118
  4. Step 4: Simplify right side
    129,603x = 80,723,037,924
  5. Step 5: Solve for x
    x = 80,723,037,924/129,603
  6. Step 6: Final answer
    x = 622,848.53

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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.