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Finding the Third Proportional to 122,487.19 and 256,201.73

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Solution

The third proportional to 122,487.19 and 256,201.73 is: 535,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,487.19 : 256,201.73 = 256,201.73 : x
  2. Step 2: Convert to fraction form
    122,487.19/256,201.73 = 256,201.73/x
  3. Step 3: Cross multiply
    122,487.19x = 256,201.73 × 256,201.73
  4. Step 4: Simplify right side
    122,487.19x = 65,639,328,696.76
  5. Step 5: Solve for x
    x = 65,639,328,696.76/122,487.19
  6. Step 6: Final answer
    x = 535,887.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.