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Finding the Third Proportional to 415,201.50 and 640,541.25

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Solution

The third proportional to 415,201.50 and 640,541.25 is: 988,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,201.50 : 640,541.25 = 640,541.25 : x
  2. Step 2: Convert to fraction form
    415,201.50/640,541.25 = 640,541.25/x
  3. Step 3: Cross multiply
    415,201.50x = 640,541.25 × 640,541.25
  4. Step 4: Simplify right side
    415,201.50x = 410,293,092,951.56
  5. Step 5: Solve for x
    x = 410,293,092,951.56/415,201.50
  6. Step 6: Final answer
    x = 988,178.25

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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.