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Finding the Third Proportional to 118,165,405.50 and 189,858,920.25

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Solution

The third proportional to 118,165,405.50 and 189,858,920.25 is: 305,050,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,165,405.50 : 189,858,920.25 = 189,858,920.25 : x
  2. Step 2: Convert to fraction form
    118,165,405.50/189,858,920.25 = 189,858,920.25/x
  3. Step 3: Cross multiply
    118,165,405.50x = 189,858,920.25 × 189,858,920.25
  4. Step 4: Simplify right side
    118,165,405.50x = 36,046,409,598,495,864
  5. Step 5: Solve for x
    x = 36,046,409,598,495,864/118,165,405.50
  6. Step 6: Final answer
    x = 305,050,445.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.