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Finding the Third Proportional to 136,242 and 205,591.50

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Solution

The third proportional to 136,242 and 205,591.50 is: 310,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,242 : 205,591.50 = 205,591.50 : x
  2. Step 2: Convert to fraction form
    136,242/205,591.50 = 205,591.50/x
  3. Step 3: Cross multiply
    136,242x = 205,591.50 × 205,591.50
  4. Step 4: Simplify right side
    136,242x = 42,267,864,872.25
  5. Step 5: Solve for x
    x = 42,267,864,872.25/136,242
  6. Step 6: Final answer
    x = 310,241.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.