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Finding the Third Proportional to 154,040,610 and 338,316,036

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Solution

The third proportional to 154,040,610 and 338,316,036 is: 743,036,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,040,610 : 338,316,036 = 338,316,036 : x
  2. Step 2: Convert to fraction form
    154,040,610/338,316,036 = 338,316,036/x
  3. Step 3: Cross multiply
    154,040,610x = 338,316,036 × 338,316,036
  4. Step 4: Simplify right side
    154,040,610x = 114,457,740,214,753,296
  5. Step 5: Solve for x
    x = 114,457,740,214,753,296/154,040,610
  6. Step 6: Final answer
    x = 743,036,139.72

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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.