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Finding the Third Proportional to 299,712 and 642,174

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Solution

The third proportional to 299,712 and 642,174 is: 1,375,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,712 : 642,174 = 642,174 : x
  2. Step 2: Convert to fraction form
    299,712/642,174 = 642,174/x
  3. Step 3: Cross multiply
    299,712x = 642,174 × 642,174
  4. Step 4: Simplify right side
    299,712x = 412,387,446,276
  5. Step 5: Solve for x
    x = 412,387,446,276/299,712
  6. Step 6: Final answer
    x = 1,375,945.73

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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.