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Finding the Third Proportional to 299,251 and 639,973

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Solution

The third proportional to 299,251 and 639,973 is: 1,368,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,251 : 639,973 = 639,973 : x
  2. Step 2: Convert to fraction form
    299,251/639,973 = 639,973/x
  3. Step 3: Cross multiply
    299,251x = 639,973 × 639,973
  4. Step 4: Simplify right side
    299,251x = 409,565,440,729
  5. Step 5: Solve for x
    x = 409,565,440,729/299,251
  6. Step 6: Final answer
    x = 1,368,635.16

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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.