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Finding the Third Proportional to 285,364 and 427,155

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Solution

The third proportional to 285,364 and 427,155 is: 639,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,364 : 427,155 = 427,155 : x
  2. Step 2: Convert to fraction form
    285,364/427,155 = 427,155/x
  3. Step 3: Cross multiply
    285,364x = 427,155 × 427,155
  4. Step 4: Simplify right side
    285,364x = 182,461,394,025
  5. Step 5: Solve for x
    x = 182,461,394,025/285,364
  6. Step 6: Final answer
    x = 639,398.78

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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.