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Finding the Third Proportional to 299,730 and 641,976

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Solution

The third proportional to 299,730 and 641,976 is: 1,375,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,730 : 641,976 = 641,976 : x
  2. Step 2: Convert to fraction form
    299,730/641,976 = 641,976/x
  3. Step 3: Cross multiply
    299,730x = 641,976 × 641,976
  4. Step 4: Simplify right side
    299,730x = 412,133,184,576
  5. Step 5: Solve for x
    x = 412,133,184,576/299,730
  6. Step 6: Final answer
    x = 1,375,014.80

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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.