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Finding the Third Proportional to 139,740.19 and 217,914.05

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Solution

The third proportional to 139,740.19 and 217,914.05 is: 339,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,740.19 : 217,914.05 = 217,914.05 : x
  2. Step 2: Convert to fraction form
    139,740.19/217,914.05 = 217,914.05/x
  3. Step 3: Cross multiply
    139,740.19x = 217,914.05 × 217,914.05
  4. Step 4: Simplify right side
    139,740.19x = 47,486,531,825.44
  5. Step 5: Solve for x
    x = 47,486,531,825.44/139,740.19
  6. Step 6: Final answer
    x = 339,820.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.