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Finding the Third Proportional to 166,531 and 253,968

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Solution

The third proportional to 166,531 and 253,968 is: 387,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,531 : 253,968 = 253,968 : x
  2. Step 2: Convert to fraction form
    166,531/253,968 = 253,968/x
  3. Step 3: Cross multiply
    166,531x = 253,968 × 253,968
  4. Step 4: Simplify right side
    166,531x = 64,499,745,024
  5. Step 5: Solve for x
    x = 64,499,745,024/166,531
  6. Step 6: Final answer
    x = 387,313.74

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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.