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Finding the Third Proportional to 420,690 and 635,433

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Solution

The third proportional to 420,690 and 635,433 is: 959,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,690 : 635,433 = 635,433 : x
  2. Step 2: Convert to fraction form
    420,690/635,433 = 635,433/x
  3. Step 3: Cross multiply
    420,690x = 635,433 × 635,433
  4. Step 4: Simplify right side
    420,690x = 403,775,097,489
  5. Step 5: Solve for x
    x = 403,775,097,489/420,690
  6. Step 6: Final answer
    x = 959,792.48

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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.