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Finding the Third Proportional to 299,596 and 636,128

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Solution

The third proportional to 299,596 and 636,128 is: 1,350,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,596 : 636,128 = 636,128 : x
  2. Step 2: Convert to fraction form
    299,596/636,128 = 636,128/x
  3. Step 3: Cross multiply
    299,596x = 636,128 × 636,128
  4. Step 4: Simplify right side
    299,596x = 404,658,832,384
  5. Step 5: Solve for x
    x = 404,658,832,384/299,596
  6. Step 6: Final answer
    x = 1,350,681.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.