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Finding the Third Proportional to 299,913 and 650,668

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Solution

The third proportional to 299,913 and 650,668 is: 1,411,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,913 : 650,668 = 650,668 : x
  2. Step 2: Convert to fraction form
    299,913/650,668 = 650,668/x
  3. Step 3: Cross multiply
    299,913x = 650,668 × 650,668
  4. Step 4: Simplify right side
    299,913x = 423,368,846,224
  5. Step 5: Solve for x
    x = 423,368,846,224/299,913
  6. Step 6: Final answer
    x = 1,411,638.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.