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Finding the Third Proportional to 257,147 and 385,467

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Solution

The third proportional to 257,147 and 385,467 is: 577,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,147 : 385,467 = 385,467 : x
  2. Step 2: Convert to fraction form
    257,147/385,467 = 385,467/x
  3. Step 3: Cross multiply
    257,147x = 385,467 × 385,467
  4. Step 4: Simplify right side
    257,147x = 148,584,808,089
  5. Step 5: Solve for x
    x = 148,584,808,089/257,147
  6. Step 6: Final answer
    x = 577,820.50

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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.