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Finding the Third Proportional to 399,673,669 and 599,510,463

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Solution

The third proportional to 399,673,669 and 599,510,463 is: 899,265,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,673,669 : 599,510,463 = 599,510,463 : x
  2. Step 2: Convert to fraction form
    399,673,669/599,510,463 = 599,510,463/x
  3. Step 3: Cross multiply
    399,673,669x = 599,510,463 × 599,510,463
  4. Step 4: Simplify right side
    399,673,669x = 359,412,795,246,474,368
  5. Step 5: Solve for x
    x = 359,412,795,246,474,368/399,673,669
  6. Step 6: Final answer
    x = 899,265,633.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.