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Finding the Third Proportional to 299,706.75 and 642,060

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Solution

The third proportional to 299,706.75 and 642,060 is: 1,375,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,706.75 : 642,060 = 642,060 : x
  2. Step 2: Convert to fraction form
    299,706.75/642,060 = 642,060/x
  3. Step 3: Cross multiply
    299,706.75x = 642,060 × 642,060
  4. Step 4: Simplify right side
    299,706.75x = 412,241,043,600
  5. Step 5: Solve for x
    x = 412,241,043,600/299,706.75
  6. Step 6: Final answer
    x = 1,375,481.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.