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Finding the Third Proportional to 133,394 and 203,480

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Solution

The third proportional to 133,394 and 203,480 is: 310,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,394 : 203,480 = 203,480 : x
  2. Step 2: Convert to fraction form
    133,394/203,480 = 203,480/x
  3. Step 3: Cross multiply
    133,394x = 203,480 × 203,480
  4. Step 4: Simplify right side
    133,394x = 41,404,110,400
  5. Step 5: Solve for x
    x = 41,404,110,400/133,394
  6. Step 6: Final answer
    x = 310,389.60

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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.