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Finding the Third Proportional to 285,354 and 427,251

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Solution

The third proportional to 285,354 and 427,251 is: 639,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,354 : 427,251 = 427,251 : x
  2. Step 2: Convert to fraction form
    285,354/427,251 = 427,251/x
  3. Step 3: Cross multiply
    285,354x = 427,251 × 427,251
  4. Step 4: Simplify right side
    285,354x = 182,543,417,001
  5. Step 5: Solve for x
    x = 182,543,417,001/285,354
  6. Step 6: Final answer
    x = 639,708.63

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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.