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Finding the Third Proportional to 128,106 and 203,563.13

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Solution

The third proportional to 128,106 and 203,563.13 is: 323,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,106 : 203,563.13 = 203,563.13 : x
  2. Step 2: Convert to fraction form
    128,106/203,563.13 = 203,563.13/x
  3. Step 3: Cross multiply
    128,106x = 203,563.13 × 203,563.13
  4. Step 4: Simplify right side
    128,106x = 41,437,945,859.77
  5. Step 5: Solve for x
    x = 41,437,945,859.77/128,106
  6. Step 6: Final answer
    x = 323,466.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.