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Finding the Third Proportional to 282,728 and 415,611

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Solution

The third proportional to 282,728 and 415,611 is: 610,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,728 : 415,611 = 415,611 : x
  2. Step 2: Convert to fraction form
    282,728/415,611 = 415,611/x
  3. Step 3: Cross multiply
    282,728x = 415,611 × 415,611
  4. Step 4: Simplify right side
    282,728x = 172,732,503,321
  5. Step 5: Solve for x
    x = 172,732,503,321/282,728
  6. Step 6: Final answer
    x = 610,949.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.