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Finding the Third Proportional to 338,880 and 724,296

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Solution

The third proportional to 338,880 and 724,296 is: 1,548,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,880 : 724,296 = 724,296 : x
  2. Step 2: Convert to fraction form
    338,880/724,296 = 724,296/x
  3. Step 3: Cross multiply
    338,880x = 724,296 × 724,296
  4. Step 4: Simplify right side
    338,880x = 524,604,695,616
  5. Step 5: Solve for x
    x = 524,604,695,616/338,880
  6. Step 6: Final answer
    x = 1,548,054.46

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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.