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Finding the Third Proportional to 154,040,608 and 338,316,032

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Solution

The third proportional to 154,040,608 and 338,316,032 is: 743,036,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,040,608 : 338,316,032 = 338,316,032 : x
  2. Step 2: Convert to fraction form
    154,040,608/338,316,032 = 338,316,032/x
  3. Step 3: Cross multiply
    154,040,608x = 338,316,032 × 338,316,032
  4. Step 4: Simplify right side
    154,040,608x = 114,457,737,508,225,024
  5. Step 5: Solve for x
    x = 114,457,737,508,225,024/154,040,608
  6. Step 6: Final answer
    x = 743,036,131.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.