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Finding the Third Proportional to 340,400 and 725,512

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Solution

The third proportional to 340,400 and 725,512 is: 1,546,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,400 : 725,512 = 725,512 : x
  2. Step 2: Convert to fraction form
    340,400/725,512 = 725,512/x
  3. Step 3: Cross multiply
    340,400x = 725,512 × 725,512
  4. Step 4: Simplify right side
    340,400x = 526,367,662,144
  5. Step 5: Solve for x
    x = 526,367,662,144/340,400
  6. Step 6: Final answer
    x = 1,546,320.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.