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Finding the Third Proportional to 123,040,457 and 267,205,190

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Solution

The third proportional to 123,040,457 and 267,205,190 is: 580,285,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,040,457 : 267,205,190 = 267,205,190 : x
  2. Step 2: Convert to fraction form
    123,040,457/267,205,190 = 267,205,190/x
  3. Step 3: Cross multiply
    123,040,457x = 267,205,190 × 267,205,190
  4. Step 4: Simplify right side
    123,040,457x = 71,398,613,562,936,096
  5. Step 5: Solve for x
    x = 71,398,613,562,936,096/123,040,457
  6. Step 6: Final answer
    x = 580,285,666.23

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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.