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Finding the Third Proportional to 388,908 and 635,049

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Solution

The third proportional to 388,908 and 635,049 is: 1,036,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,908 : 635,049 = 635,049 : x
  2. Step 2: Convert to fraction form
    388,908/635,049 = 635,049/x
  3. Step 3: Cross multiply
    388,908x = 635,049 × 635,049
  4. Step 4: Simplify right side
    388,908x = 403,287,232,401
  5. Step 5: Solve for x
    x = 403,287,232,401/388,908
  6. Step 6: Final answer
    x = 1,036,973.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.