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Finding the Third Proportional to 133,245 and 205,013

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Solution

The third proportional to 133,245 and 205,013 is: 315,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,245 : 205,013 = 205,013 : x
  2. Step 2: Convert to fraction form
    133,245/205,013 = 205,013/x
  3. Step 3: Cross multiply
    133,245x = 205,013 × 205,013
  4. Step 4: Simplify right side
    133,245x = 42,030,330,169
  5. Step 5: Solve for x
    x = 42,030,330,169/133,245
  6. Step 6: Final answer
    x = 315,436.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.