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Finding the Third Proportional to 136,300.50 and 208,770.75

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Solution

The third proportional to 136,300.50 and 208,770.75 is: 319,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,300.50 : 208,770.75 = 208,770.75 : x
  2. Step 2: Convert to fraction form
    136,300.50/208,770.75 = 208,770.75/x
  3. Step 3: Cross multiply
    136,300.50x = 208,770.75 × 208,770.75
  4. Step 4: Simplify right side
    136,300.50x = 43,585,226,055.56
  5. Step 5: Solve for x
    x = 43,585,226,055.56/136,300.50
  6. Step 6: Final answer
    x = 319,773.05

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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.