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Finding the Third Proportional to 199,848,981 and 462,621,576

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Solution

The third proportional to 199,848,981 and 462,621,576 is: 1,070,902,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,848,981 : 462,621,576 = 462,621,576 : x
  2. Step 2: Convert to fraction form
    199,848,981/462,621,576 = 462,621,576/x
  3. Step 3: Cross multiply
    199,848,981x = 462,621,576 × 462,621,576
  4. Step 4: Simplify right side
    199,848,981x = 214,018,722,580,723,776
  5. Step 5: Solve for x
    x = 214,018,722,580,723,776/199,848,981
  6. Step 6: Final answer
    x = 1,070,902,245.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.