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Finding the Third Proportional to 36,856,480.50 and 80,195,233.50

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Solution

The third proportional to 36,856,480.50 and 80,195,233.50 is: 174,495,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,856,480.50 : 80,195,233.50 = 80,195,233.50 : x
  2. Step 2: Convert to fraction form
    36,856,480.50/80,195,233.50 = 80,195,233.50/x
  3. Step 3: Cross multiply
    36,856,480.50x = 80,195,233.50 × 80,195,233.50
  4. Step 4: Simplify right side
    36,856,480.50x = 6,431,275,476,119,522
  5. Step 5: Solve for x
    x = 6,431,275,476,119,522/36,856,480.50
  6. Step 6: Final answer
    x = 174,495,106.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.