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Finding the Third Proportional to 299,302 and 646,082

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Solution

The third proportional to 299,302 and 646,082 is: 1,394,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302 : 646,082 = 646,082 : x
  2. Step 2: Convert to fraction form
    299,302/646,082 = 646,082/x
  3. Step 3: Cross multiply
    299,302x = 646,082 × 646,082
  4. Step 4: Simplify right side
    299,302x = 417,421,950,724
  5. Step 5: Solve for x
    x = 417,421,950,724/299,302
  6. Step 6: Final answer
    x = 1,394,651.39

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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.