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Finding the Third Proportional to 257,380 and 391,318

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Solution

The third proportional to 257,380 and 391,318 is: 594,956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,380 : 391,318 = 391,318 : x
  2. Step 2: Convert to fraction form
    257,380/391,318 = 391,318/x
  3. Step 3: Cross multiply
    257,380x = 391,318 × 391,318
  4. Step 4: Simplify right side
    257,380x = 153,129,777,124
  5. Step 5: Solve for x
    x = 153,129,777,124/257,380
  6. Step 6: Final answer
    x = 594,956.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.