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Finding the Third Proportional to 78,252,342 and 171,621,212

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Solution

The third proportional to 78,252,342 and 171,621,212 is: 376,395,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,252,342 : 171,621,212 = 171,621,212 : x
  2. Step 2: Convert to fraction form
    78,252,342/171,621,212 = 171,621,212/x
  3. Step 3: Cross multiply
    78,252,342x = 171,621,212 × 171,621,212
  4. Step 4: Simplify right side
    78,252,342x = 29,453,840,408,348,944
  5. Step 5: Solve for x
    x = 29,453,840,408,348,944/78,252,342
  6. Step 6: Final answer
    x = 376,395,640.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.