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Finding the Third Proportional to 122,449,152,060 and 190,120,648,800

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Solution

The third proportional to 122,449,152,060 and 190,120,648,800 is: 295,190,783,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,449,152,060 : 190,120,648,800 = 190,120,648,800 : x
  2. Step 2: Convert to fraction form
    122,449,152,060/190,120,648,800 = 190,120,648,800/x
  3. Step 3: Cross multiply
    122,449,152,060x = 190,120,648,800 × 190,120,648,800
  4. Step 4: Simplify right side
    122,449,152,060x = 36,145,861,100,132,943,003,648
  5. Step 5: Solve for x
    x = 36,145,861,100,132,943,003,648/122,449,152,060
  6. Step 6: Final answer
    x = 295,190,783,211.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.