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Finding the Third Proportional to 294,298 and 639,812

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Solution

The third proportional to 294,298 and 639,812 is: 1,390,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,298 : 639,812 = 639,812 : x
  2. Step 2: Convert to fraction form
    294,298/639,812 = 639,812/x
  3. Step 3: Cross multiply
    294,298x = 639,812 × 639,812
  4. Step 4: Simplify right side
    294,298x = 409,359,395,344
  5. Step 5: Solve for x
    x = 409,359,395,344/294,298
  6. Step 6: Final answer
    x = 1,390,969.00

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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.