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Finding the Third Proportional to 255,236 and 356,810

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Solution

The third proportional to 255,236 and 356,810 is: 498,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,236 : 356,810 = 356,810 : x
  2. Step 2: Convert to fraction form
    255,236/356,810 = 356,810/x
  3. Step 3: Cross multiply
    255,236x = 356,810 × 356,810
  4. Step 4: Simplify right side
    255,236x = 127,313,376,100
  5. Step 5: Solve for x
    x = 127,313,376,100/255,236
  6. Step 6: Final answer
    x = 498,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.