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Finding the Third Proportional to 225,810 and 340,628

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Solution

The third proportional to 225,810 and 340,628 is: 513,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,810 : 340,628 = 340,628 : x
  2. Step 2: Convert to fraction form
    225,810/340,628 = 340,628/x
  3. Step 3: Cross multiply
    225,810x = 340,628 × 340,628
  4. Step 4: Simplify right side
    225,810x = 116,027,434,384
  5. Step 5: Solve for x
    x = 116,027,434,384/225,810
  6. Step 6: Final answer
    x = 513,827.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.