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Finding the Third Proportional to 285,351 and 427,134

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Solution

The third proportional to 285,351 and 427,134 is: 639,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,351 : 427,134 = 427,134 : x
  2. Step 2: Convert to fraction form
    285,351/427,134 = 427,134/x
  3. Step 3: Cross multiply
    285,351x = 427,134 × 427,134
  4. Step 4: Simplify right side
    285,351x = 182,443,453,956
  5. Step 5: Solve for x
    x = 182,443,453,956/285,351
  6. Step 6: Final answer
    x = 639,365.04

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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.