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Finding the Third Proportional to 420,744 and 635,484

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Solution

The third proportional to 420,744 and 635,484 is: 959,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,744 : 635,484 = 635,484 : x
  2. Step 2: Convert to fraction form
    420,744/635,484 = 635,484/x
  3. Step 3: Cross multiply
    420,744x = 635,484 × 635,484
  4. Step 4: Simplify right side
    420,744x = 403,839,914,256
  5. Step 5: Solve for x
    x = 403,839,914,256/420,744
  6. Step 6: Final answer
    x = 959,823.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.