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Finding the Third Proportional to 285,712 and 427,165

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Solution

The third proportional to 285,712 and 427,165 is: 638,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,712 : 427,165 = 427,165 : x
  2. Step 2: Convert to fraction form
    285,712/427,165 = 427,165/x
  3. Step 3: Cross multiply
    285,712x = 427,165 × 427,165
  4. Step 4: Simplify right side
    285,712x = 182,469,937,225
  5. Step 5: Solve for x
    x = 182,469,937,225/285,712
  6. Step 6: Final answer
    x = 638,649.89

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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.