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Finding the Third Proportional to 299,213 and 645,982

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Solution

The third proportional to 299,213 and 645,982 is: 1,394,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,213 : 645,982 = 645,982 : x
  2. Step 2: Convert to fraction form
    299,213/645,982 = 645,982/x
  3. Step 3: Cross multiply
    299,213x = 645,982 × 645,982
  4. Step 4: Simplify right side
    299,213x = 417,292,744,324
  5. Step 5: Solve for x
    x = 417,292,744,324/299,213
  6. Step 6: Final answer
    x = 1,394,634.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.