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Finding the Third Proportional to 123,040,463 and 267,205,202

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Solution

The third proportional to 123,040,463 and 267,205,202 is: 580,285,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,040,463 : 267,205,202 = 267,205,202 : x
  2. Step 2: Convert to fraction form
    123,040,463/267,205,202 = 267,205,202/x
  3. Step 3: Cross multiply
    123,040,463x = 267,205,202 × 267,205,202
  4. Step 4: Simplify right side
    123,040,463x = 71,398,619,975,860,800
  5. Step 5: Solve for x
    x = 71,398,619,975,860,800/123,040,463
  6. Step 6: Final answer
    x = 580,285,690.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.