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Finding the Third Proportional to 257,467.50 and 384,743.25

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Solution

The third proportional to 257,467.50 and 384,743.25 is: 574,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,467.50 : 384,743.25 = 384,743.25 : x
  2. Step 2: Convert to fraction form
    257,467.50/384,743.25 = 384,743.25/x
  3. Step 3: Cross multiply
    257,467.50x = 384,743.25 × 384,743.25
  4. Step 4: Simplify right side
    257,467.50x = 148,027,368,420.56
  5. Step 5: Solve for x
    x = 148,027,368,420.56/257,467.50
  6. Step 6: Final answer
    x = 574,936.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.