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Finding the Third Proportional to 638,431,098 and 898,659,893

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Solution

The third proportional to 638,431,098 and 898,659,893 is: 1,264,959,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,431,098 : 898,659,893 = 898,659,893 : x
  2. Step 2: Convert to fraction form
    638,431,098/898,659,893 = 898,659,893/x
  3. Step 3: Cross multiply
    638,431,098x = 898,659,893 × 898,659,893
  4. Step 4: Simplify right side
    638,431,098x = 807,589,603,286,771,456
  5. Step 5: Solve for x
    x = 807,589,603,286,771,456/638,431,098
  6. Step 6: Final answer
    x = 1,264,959,689.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.