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Finding the Third Proportional to 299,739 and 647,458.50

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Solution

The third proportional to 299,739 and 647,458.50 is: 1,398,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,739 : 647,458.50 = 647,458.50 : x
  2. Step 2: Convert to fraction form
    299,739/647,458.50 = 647,458.50/x
  3. Step 3: Cross multiply
    299,739x = 647,458.50 × 647,458.50
  4. Step 4: Simplify right side
    299,739x = 419,202,509,222.25
  5. Step 5: Solve for x
    x = 419,202,509,222.25/299,739
  6. Step 6: Final answer
    x = 1,398,558.44

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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.