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Finding the Third Proportional to 425,111 and 635,399

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Solution

The third proportional to 425,111 and 635,399 is: 949,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,111 : 635,399 = 635,399 : x
  2. Step 2: Convert to fraction form
    425,111/635,399 = 635,399/x
  3. Step 3: Cross multiply
    425,111x = 635,399 × 635,399
  4. Step 4: Simplify right side
    425,111x = 403,731,889,201
  5. Step 5: Solve for x
    x = 403,731,889,201/425,111
  6. Step 6: Final answer
    x = 949,709.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.