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Finding the Third Proportional to 299,598 and 636,132

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Solution

The third proportional to 299,598 and 636,132 is: 1,350,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,598 : 636,132 = 636,132 : x
  2. Step 2: Convert to fraction form
    299,598/636,132 = 636,132/x
  3. Step 3: Cross multiply
    299,598x = 636,132 × 636,132
  4. Step 4: Simplify right side
    299,598x = 404,663,921,424
  5. Step 5: Solve for x
    x = 404,663,921,424/299,598
  6. Step 6: Final answer
    x = 1,350,689.66

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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.