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Finding the Third Proportional to 451,919.25 and 619,680.38

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Solution

The third proportional to 451,919.25 and 619,680.38 is: 849,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,919.25 : 619,680.38 = 619,680.38 : x
  2. Step 2: Convert to fraction form
    451,919.25/619,680.38 = 619,680.38/x
  3. Step 3: Cross multiply
    451,919.25x = 619,680.38 × 619,680.38
  4. Step 4: Simplify right side
    451,919.25x = 384,003,767,160.14
  5. Step 5: Solve for x
    x = 384,003,767,160.14/451,919.25
  6. Step 6: Final answer
    x = 849,717.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.