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Finding the Third Proportional to 257,695.50 and 385,353

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Solution

The third proportional to 257,695.50 and 385,353 is: 576,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,695.50 : 385,353 = 385,353 : x
  2. Step 2: Convert to fraction form
    257,695.50/385,353 = 385,353/x
  3. Step 3: Cross multiply
    257,695.50x = 385,353 × 385,353
  4. Step 4: Simplify right side
    257,695.50x = 148,496,934,609
  5. Step 5: Solve for x
    x = 148,496,934,609/257,695.50
  6. Step 6: Final answer
    x = 576,249.62

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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.