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Finding the Third Proportional to 257,452.17 and 538,431.05

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Solution

The third proportional to 257,452.17 and 538,431.05 is: 1,126,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,452.17 : 538,431.05 = 538,431.05 : x
  2. Step 2: Convert to fraction form
    257,452.17/538,431.05 = 538,431.05/x
  3. Step 3: Cross multiply
    257,452.17x = 538,431.05 × 538,431.05
  4. Step 4: Simplify right side
    257,452.17x = 289,907,992,238.91
  5. Step 5: Solve for x
    x = 289,907,992,238.91/257,452.17
  6. Step 6: Final answer
    x = 1,126,065.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.