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Finding the Third Proportional to 415,218 and 650,505

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Solution

The third proportional to 415,218 and 650,505 is: 1,019,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,218 : 650,505 = 650,505 : x
  2. Step 2: Convert to fraction form
    415,218/650,505 = 650,505/x
  3. Step 3: Cross multiply
    415,218x = 650,505 × 650,505
  4. Step 4: Simplify right side
    415,218x = 423,156,755,025
  5. Step 5: Solve for x
    x = 423,156,755,025/415,218
  6. Step 6: Final answer
    x = 1,019,119.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.