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Finding the Third Proportional to 299,064 and 639,600

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Solution

The third proportional to 299,064 and 639,600 is: 1,367,895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,064 : 639,600 = 639,600 : x
  2. Step 2: Convert to fraction form
    299,064/639,600 = 639,600/x
  3. Step 3: Cross multiply
    299,064x = 639,600 × 639,600
  4. Step 4: Simplify right side
    299,064x = 409,088,160,000
  5. Step 5: Solve for x
    x = 409,088,160,000/299,064
  6. Step 6: Final answer
    x = 1,367,895.03

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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.