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Finding the Third Proportional to 133,242.75 and 205,010.25

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Solution

The third proportional to 133,242.75 and 205,010.25 is: 315,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,242.75 : 205,010.25 = 205,010.25 : x
  2. Step 2: Convert to fraction form
    133,242.75/205,010.25 = 205,010.25/x
  3. Step 3: Cross multiply
    133,242.75x = 205,010.25 × 205,010.25
  4. Step 4: Simplify right side
    133,242.75x = 42,029,202,605.06
  5. Step 5: Solve for x
    x = 42,029,202,605.06/133,242.75
  6. Step 6: Final answer
    x = 315,433.32

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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.