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Finding the Third Proportional to 57,489,854,920 and 125,102,961,104

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Solution

The third proportional to 57,489,854,920 and 125,102,961,104 is: 272,235,003,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,489,854,920 : 125,102,961,104 = 125,102,961,104 : x
  2. Step 2: Convert to fraction form
    57,489,854,920/125,102,961,104 = 125,102,961,104/x
  3. Step 3: Cross multiply
    57,489,854,920x = 125,102,961,104 × 125,102,961,104
  4. Step 4: Simplify right side
    57,489,854,920x = 15,650,750,876,988,936,814,592
  5. Step 5: Solve for x
    x = 15,650,750,876,988,936,814,592/57,489,854,920
  6. Step 6: Final answer
    x = 272,235,003,876.21

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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.