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Finding the Third Proportional to 415,262 and 640,601

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Solution

The third proportional to 415,262 and 640,601 is: 988,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,262 : 640,601 = 640,601 : x
  2. Step 2: Convert to fraction form
    415,262/640,601 = 640,601/x
  3. Step 3: Cross multiply
    415,262x = 640,601 × 640,601
  4. Step 4: Simplify right side
    415,262x = 410,369,641,201
  5. Step 5: Solve for x
    x = 410,369,641,201/415,262
  6. Step 6: Final answer
    x = 988,218.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.