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Finding the Third Proportional to 229,744 and 515,616

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Solution

The third proportional to 229,744 and 515,616 is: 1,157,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,744 : 515,616 = 515,616 : x
  2. Step 2: Convert to fraction form
    229,744/515,616 = 515,616/x
  3. Step 3: Cross multiply
    229,744x = 515,616 × 515,616
  4. Step 4: Simplify right side
    229,744x = 265,859,859,456
  5. Step 5: Solve for x
    x = 265,859,859,456/229,744
  6. Step 6: Final answer
    x = 1,157,200.45

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.