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Finding the Third Proportional to 299,733 and 647,446.50

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Solution

The third proportional to 299,733 and 647,446.50 is: 1,398,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,733 : 647,446.50 = 647,446.50 : x
  2. Step 2: Convert to fraction form
    299,733/647,446.50 = 647,446.50/x
  3. Step 3: Cross multiply
    299,733x = 647,446.50 × 647,446.50
  4. Step 4: Simplify right side
    299,733x = 419,186,970,362.25
  5. Step 5: Solve for x
    x = 419,186,970,362.25/299,733
  6. Step 6: Final answer
    x = 1,398,534.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.