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Finding the Third Proportional to 257,710.50 and 393,231

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Solution

The third proportional to 257,710.50 and 393,231 is: 600,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,710.50 : 393,231 = 393,231 : x
  2. Step 2: Convert to fraction form
    257,710.50/393,231 = 393,231/x
  3. Step 3: Cross multiply
    257,710.50x = 393,231 × 393,231
  4. Step 4: Simplify right side
    257,710.50x = 154,630,619,361
  5. Step 5: Solve for x
    x = 154,630,619,361/257,710.50
  6. Step 6: Final answer
    x = 600,016.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.