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Finding the Third Proportional to 309,381,014 and 447,418,893

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Solution

The third proportional to 309,381,014 and 447,418,893 is: 647,045,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,381,014 : 447,418,893 = 447,418,893 : x
  2. Step 2: Convert to fraction form
    309,381,014/447,418,893 = 447,418,893/x
  3. Step 3: Cross multiply
    309,381,014x = 447,418,893 × 447,418,893
  4. Step 4: Simplify right side
    309,381,014x = 200,183,665,813,345,440
  5. Step 5: Solve for x
    x = 200,183,665,813,345,440/309,381,014
  6. Step 6: Final answer
    x = 647,045,735.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.