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Finding the Third Proportional to 257,096 and 395,421

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Solution

The third proportional to 257,096 and 395,421 is: 608,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,096 : 395,421 = 395,421 : x
  2. Step 2: Convert to fraction form
    257,096/395,421 = 395,421/x
  3. Step 3: Cross multiply
    257,096x = 395,421 × 395,421
  4. Step 4: Simplify right side
    257,096x = 156,357,767,241
  5. Step 5: Solve for x
    x = 156,357,767,241/257,096
  6. Step 6: Final answer
    x = 608,168.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.