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Finding the Third Proportional to 40,343,298 and 87,408,132

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Solution

The third proportional to 40,343,298 and 87,408,132 is: 189,379,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,343,298 : 87,408,132 = 87,408,132 : x
  2. Step 2: Convert to fraction form
    40,343,298/87,408,132 = 87,408,132/x
  3. Step 3: Cross multiply
    40,343,298x = 87,408,132 × 87,408,132
  4. Step 4: Simplify right side
    40,343,298x = 7,640,181,539,729,424
  5. Step 5: Solve for x
    x = 7,640,181,539,729,424/40,343,298
  6. Step 6: Final answer
    x = 189,379,200.97

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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.