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Finding the Third Proportional to 420,720 and 635,436

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Solution

The third proportional to 420,720 and 635,436 is: 959,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,720 : 635,436 = 635,436 : x
  2. Step 2: Convert to fraction form
    420,720/635,436 = 635,436/x
  3. Step 3: Cross multiply
    420,720x = 635,436 × 635,436
  4. Step 4: Simplify right side
    420,720x = 403,778,910,096
  5. Step 5: Solve for x
    x = 403,778,910,096/420,720
  6. Step 6: Final answer
    x = 959,733.10

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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.