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Finding the Third Proportional to 209,463,138 and 440,632,980

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Solution

The third proportional to 209,463,138 and 440,632,980 is: 926,928,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,463,138 : 440,632,980 = 440,632,980 : x
  2. Step 2: Convert to fraction form
    209,463,138/440,632,980 = 440,632,980/x
  3. Step 3: Cross multiply
    209,463,138x = 440,632,980 × 440,632,980
  4. Step 4: Simplify right side
    209,463,138x = 194,157,423,063,680,384
  5. Step 5: Solve for x
    x = 194,157,423,063,680,384/209,463,138
  6. Step 6: Final answer
    x = 926,928,837.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.