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Finding the Third Proportional to 98,792,157,400 and 133,293,815,064

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Solution

The third proportional to 98,792,157,400 and 133,293,815,064 is: 179,844,651,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,792,157,400 : 133,293,815,064 = 133,293,815,064 : x
  2. Step 2: Convert to fraction form
    98,792,157,400/133,293,815,064 = 133,293,815,064/x
  3. Step 3: Cross multiply
    98,792,157,400x = 133,293,815,064 × 133,293,815,064
  4. Step 4: Simplify right side
    98,792,157,400x = 17,767,241,134,315,833,131,008
  5. Step 5: Solve for x
    x = 17,767,241,134,315,833,131,008/98,792,157,400
  6. Step 6: Final answer
    x = 179,844,651,659.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.