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Finding the Third Proportional to 257,673 and 561,091.13

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Solution

The third proportional to 257,673 and 561,091.13 is: 1,221,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,673 : 561,091.13 = 561,091.13 : x
  2. Step 2: Convert to fraction form
    257,673/561,091.13 = 561,091.13/x
  3. Step 3: Cross multiply
    257,673x = 561,091.13 × 561,091.13
  4. Step 4: Simplify right side
    257,673x = 314,823,250,553.77
  5. Step 5: Solve for x
    x = 314,823,250,553.77/257,673
  6. Step 6: Final answer
    x = 1,221,793.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.