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Finding the Third Proportional to 256,838 and 340,887

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Solution

The third proportional to 256,838 and 340,887 is: 452,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,838 : 340,887 = 340,887 : x
  2. Step 2: Convert to fraction form
    256,838/340,887 = 340,887/x
  3. Step 3: Cross multiply
    256,838x = 340,887 × 340,887
  4. Step 4: Simplify right side
    256,838x = 116,203,946,769
  5. Step 5: Solve for x
    x = 116,203,946,769/256,838
  6. Step 6: Final answer
    x = 452,440.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.