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Finding the Third Proportional to 40,343,296 and 87,408,128

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Solution

The third proportional to 40,343,296 and 87,408,128 is: 189,379,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,343,296 : 87,408,128 = 87,408,128 : x
  2. Step 2: Convert to fraction form
    40,343,296/87,408,128 = 87,408,128/x
  3. Step 3: Cross multiply
    40,343,296x = 87,408,128 × 87,408,128
  4. Step 4: Simplify right side
    40,343,296x = 7,640,180,840,464,384
  5. Step 5: Solve for x
    x = 7,640,180,840,464,384/40,343,296
  6. Step 6: Final answer
    x = 189,379,193.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.