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Finding the Third Proportional to 88,726,345,200 and 197,290,634,976

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Solution

The third proportional to 88,726,345,200 and 197,290,634,976 is: 438,692,640,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,726,345,200 : 197,290,634,976 = 197,290,634,976 : x
  2. Step 2: Convert to fraction form
    88,726,345,200/197,290,634,976 = 197,290,634,976/x
  3. Step 3: Cross multiply
    88,726,345,200x = 197,290,634,976 × 197,290,634,976
  4. Step 4: Simplify right side
    88,726,345,200x = 38,923,594,649,233,273,126,912
  5. Step 5: Solve for x
    x = 38,923,594,649,233,273,126,912/88,726,345,200
  6. Step 6: Final answer
    x = 438,692,640,404.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.