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Finding the Third Proportional to 257,672.25 and 385,323.75

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Solution

The third proportional to 257,672.25 and 385,323.75 is: 576,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,672.25 : 385,323.75 = 385,323.75 : x
  2. Step 2: Convert to fraction form
    257,672.25/385,323.75 = 385,323.75/x
  3. Step 3: Cross multiply
    257,672.25x = 385,323.75 × 385,323.75
  4. Step 4: Simplify right side
    257,672.25x = 148,474,392,314.06
  5. Step 5: Solve for x
    x = 148,474,392,314.06/257,672.25
  6. Step 6: Final answer
    x = 576,214.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.