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Finding the Third Proportional to 196,151,940 and 416,213,640

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Solution

The third proportional to 196,151,940 and 416,213,640 is: 883,161,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,151,940 : 416,213,640 = 416,213,640 : x
  2. Step 2: Convert to fraction form
    196,151,940/416,213,640 = 416,213,640/x
  3. Step 3: Cross multiply
    196,151,940x = 416,213,640 × 416,213,640
  4. Step 4: Simplify right side
    196,151,940x = 173,233,794,122,049,600
  5. Step 5: Solve for x
    x = 173,233,794,122,049,600/196,151,940
  6. Step 6: Final answer
    x = 883,161,258.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.