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Finding the Third Proportional to 257,853.38 and 561,451.50

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Solution

The third proportional to 257,853.38 and 561,451.50 is: 1,222,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,853.38 : 561,451.50 = 561,451.50 : x
  2. Step 2: Convert to fraction form
    257,853.38/561,451.50 = 561,451.50/x
  3. Step 3: Cross multiply
    257,853.38x = 561,451.50 × 561,451.50
  4. Step 4: Simplify right side
    257,853.38x = 315,227,786,852.25
  5. Step 5: Solve for x
    x = 315,227,786,852.25/257,853.38
  6. Step 6: Final answer
    x = 1,222,507.90

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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.