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Finding the Third Proportional to 305,785.13 and 653,644.69

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Solution

The third proportional to 305,785.13 and 653,644.69 is: 1,397,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,785.13 : 653,644.69 = 653,644.69 : x
  2. Step 2: Convert to fraction form
    305,785.13/653,644.69 = 653,644.69/x
  3. Step 3: Cross multiply
    305,785.13x = 653,644.69 × 653,644.69
  4. Step 4: Simplify right side
    305,785.13x = 427,251,377,496.97
  5. Step 5: Solve for x
    x = 427,251,377,496.97/305,785.13
  6. Step 6: Final answer
    x = 1,397,227.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.