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Finding the Third Proportional to 415,260.75 and 640,599

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Solution

The third proportional to 415,260.75 and 640,599 is: 988,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,260.75 : 640,599 = 640,599 : x
  2. Step 2: Convert to fraction form
    415,260.75/640,599 = 640,599/x
  3. Step 3: Cross multiply
    415,260.75x = 640,599 × 640,599
  4. Step 4: Simplify right side
    415,260.75x = 410,367,078,801
  5. Step 5: Solve for x
    x = 410,367,078,801/415,260.75
  6. Step 6: Final answer
    x = 988,215.43

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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.