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Finding the Third Proportional to 420,492 and 635,112

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Solution

The third proportional to 420,492 and 635,112 is: 959,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,492 : 635,112 = 635,112 : x
  2. Step 2: Convert to fraction form
    420,492/635,112 = 635,112/x
  3. Step 3: Cross multiply
    420,492x = 635,112 × 635,112
  4. Step 4: Simplify right side
    420,492x = 403,367,252,544
  5. Step 5: Solve for x
    x = 403,367,252,544/420,492
  6. Step 6: Final answer
    x = 959,274.50

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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.