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Finding the Third Proportional to 427,682 and 665,337

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Solution

The third proportional to 427,682 and 665,337 is: 1,035,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,682 : 665,337 = 665,337 : x
  2. Step 2: Convert to fraction form
    427,682/665,337 = 665,337/x
  3. Step 3: Cross multiply
    427,682x = 665,337 × 665,337
  4. Step 4: Simplify right side
    427,682x = 442,673,323,569
  5. Step 5: Solve for x
    x = 442,673,323,569/427,682
  6. Step 6: Final answer
    x = 1,035,052.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.