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Finding the Third Proportional to 257,697 and 385,355.25

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Solution

The third proportional to 257,697 and 385,355.25 is: 576,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,697 : 385,355.25 = 385,355.25 : x
  2. Step 2: Convert to fraction form
    257,697/385,355.25 = 385,355.25/x
  3. Step 3: Cross multiply
    257,697x = 385,355.25 × 385,355.25
  4. Step 4: Simplify right side
    257,697x = 148,498,668,702.56
  5. Step 5: Solve for x
    x = 148,498,668,702.56/257,697
  6. Step 6: Final answer
    x = 576,253.00

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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.