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Finding the Third Proportional to 415,422.50 and 903,745

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Solution

The third proportional to 415,422.50 and 903,745 is: 1,966,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,422.50 : 903,745 = 903,745 : x
  2. Step 2: Convert to fraction form
    415,422.50/903,745 = 903,745/x
  3. Step 3: Cross multiply
    415,422.50x = 903,745 × 903,745
  4. Step 4: Simplify right side
    415,422.50x = 816,755,025,025
  5. Step 5: Solve for x
    x = 816,755,025,025/415,422.50
  6. Step 6: Final answer
    x = 1,966,082.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.