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Finding the Third Proportional to 397,122,072 and 612,431,151

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Solution

The third proportional to 397,122,072 and 612,431,151 is: 944,475,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,122,072 : 612,431,151 = 612,431,151 : x
  2. Step 2: Convert to fraction form
    397,122,072/612,431,151 = 612,431,151/x
  3. Step 3: Cross multiply
    397,122,072x = 612,431,151 × 612,431,151
  4. Step 4: Simplify right side
    397,122,072x = 375,071,914,715,184,832
  5. Step 5: Solve for x
    x = 375,071,914,715,184,832/397,122,072
  6. Step 6: Final answer
    x = 944,475,115.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.