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Finding the Third Proportional to 299,323.69 and 642,934.13

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Solution

The third proportional to 299,323.69 and 642,934.13 is: 1,380,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,323.69 : 642,934.13 = 642,934.13 : x
  2. Step 2: Convert to fraction form
    299,323.69/642,934.13 = 642,934.13/x
  3. Step 3: Cross multiply
    299,323.69x = 642,934.13 × 642,934.13
  4. Step 4: Simplify right side
    299,323.69x = 413,364,289,089.52
  5. Step 5: Solve for x
    x = 413,364,289,089.52/299,323.69
  6. Step 6: Final answer
    x = 1,380,994.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.