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Finding the Third Proportional to 340,729.50 and 743,348.50

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Solution

The third proportional to 340,729.50 and 743,348.50 is: 1,621,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,729.50 : 743,348.50 = 743,348.50 : x
  2. Step 2: Convert to fraction form
    340,729.50/743,348.50 = 743,348.50/x
  3. Step 3: Cross multiply
    340,729.50x = 743,348.50 × 743,348.50
  4. Step 4: Simplify right side
    340,729.50x = 552,566,992,452.25
  5. Step 5: Solve for x
    x = 552,566,992,452.25/340,729.50
  6. Step 6: Final answer
    x = 1,621,717.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.