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Finding the Third Proportional to 418,859 and 665,832

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Solution

The third proportional to 418,859 and 665,832 is: 1,058,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,859 : 665,832 = 665,832 : x
  2. Step 2: Convert to fraction form
    418,859/665,832 = 665,832/x
  3. Step 3: Cross multiply
    418,859x = 665,832 × 665,832
  4. Step 4: Simplify right side
    418,859x = 443,332,252,224
  5. Step 5: Solve for x
    x = 443,332,252,224/418,859
  6. Step 6: Final answer
    x = 1,058,428.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.