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Finding the Third Proportional to 344,009 and 729,814

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Solution

The third proportional to 344,009 and 729,814 is: 1,548,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,009 : 729,814 = 729,814 : x
  2. Step 2: Convert to fraction form
    344,009/729,814 = 729,814/x
  3. Step 3: Cross multiply
    344,009x = 729,814 × 729,814
  4. Step 4: Simplify right side
    344,009x = 532,628,474,596
  5. Step 5: Solve for x
    x = 532,628,474,596/344,009
  6. Step 6: Final answer
    x = 1,548,298.08

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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.