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Finding the Third Proportional to 133,398 and 204,030.50

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Solution

The third proportional to 133,398 and 204,030.50 is: 312,061.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,398 : 204,030.50 = 204,030.50 : x
  2. Step 2: Convert to fraction form
    133,398/204,030.50 = 204,030.50/x
  3. Step 3: Cross multiply
    133,398x = 204,030.50 × 204,030.50
  4. Step 4: Simplify right side
    133,398x = 41,628,444,930.25
  5. Step 5: Solve for x
    x = 41,628,444,930.25/133,398
  6. Step 6: Final answer
    x = 312,061.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.