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Finding the Third Proportional to 301,799.25 and 639,576

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Solution

The third proportional to 301,799.25 and 639,576 is: 1,355,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,799.25 : 639,576 = 639,576 : x
  2. Step 2: Convert to fraction form
    301,799.25/639,576 = 639,576/x
  3. Step 3: Cross multiply
    301,799.25x = 639,576 × 639,576
  4. Step 4: Simplify right side
    301,799.25x = 409,057,459,776
  5. Step 5: Solve for x
    x = 409,057,459,776/301,799.25
  6. Step 6: Final answer
    x = 1,355,395.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.