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Finding the Third Proportional to 128,881,440 and 195,194,016

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Solution

The third proportional to 128,881,440 and 195,194,016 is: 295,625,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,881,440 : 195,194,016 = 195,194,016 : x
  2. Step 2: Convert to fraction form
    128,881,440/195,194,016 = 195,194,016/x
  3. Step 3: Cross multiply
    128,881,440x = 195,194,016 × 195,194,016
  4. Step 4: Simplify right side
    128,881,440x = 38,100,703,882,208,256
  5. Step 5: Solve for x
    x = 38,100,703,882,208,256/128,881,440
  6. Step 6: Final answer
    x = 295,625,994.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.