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Finding the Third Proportional to 195,646,542.75 and 421,936,327.13

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Solution

The third proportional to 195,646,542.75 and 421,936,327.13 is: 909,958,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,646,542.75 : 421,936,327.13 = 421,936,327.13 : x
  2. Step 2: Convert to fraction form
    195,646,542.75/421,936,327.13 = 421,936,327.13/x
  3. Step 3: Cross multiply
    195,646,542.75x = 421,936,327.13 × 421,936,327.13
  4. Step 4: Simplify right side
    195,646,542.75x = 178,030,264,147,735,008
  5. Step 5: Solve for x
    x = 178,030,264,147,735,008/195,646,542.75
  6. Step 6: Final answer
    x = 909,958,651.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.