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Finding the Third Proportional to 339,640.50 and 726,840

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Solution

The third proportional to 339,640.50 and 726,840 is: 1,555,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,640.50 : 726,840 = 726,840 : x
  2. Step 2: Convert to fraction form
    339,640.50/726,840 = 726,840/x
  3. Step 3: Cross multiply
    339,640.50x = 726,840 × 726,840
  4. Step 4: Simplify right side
    339,640.50x = 528,296,385,600
  5. Step 5: Solve for x
    x = 528,296,385,600/339,640.50
  6. Step 6: Final answer
    x = 1,555,457.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.