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Finding the Third Proportional to 415,048 and 641,000

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Solution

The third proportional to 415,048 and 641,000 is: 989,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,048 : 641,000 = 641,000 : x
  2. Step 2: Convert to fraction form
    415,048/641,000 = 641,000/x
  3. Step 3: Cross multiply
    415,048x = 641,000 × 641,000
  4. Step 4: Simplify right side
    415,048x = 410,881,000,000
  5. Step 5: Solve for x
    x = 410,881,000,000/415,048
  6. Step 6: Final answer
    x = 989,960.20

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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.