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Finding the Third Proportional to 390,690,467.44 and 813,533,115.38

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Solution

The third proportional to 390,690,467.44 and 813,533,115.38 is: 1,694,016,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,690,467.44 : 813,533,115.38 = 813,533,115.38 : x
  2. Step 2: Convert to fraction form
    390,690,467.44/813,533,115.38 = 813,533,115.38/x
  3. Step 3: Cross multiply
    390,690,467.44x = 813,533,115.38 × 813,533,115.38
  4. Step 4: Simplify right side
    390,690,467.44x = 661,836,129,811,753,088
  5. Step 5: Solve for x
    x = 661,836,129,811,753,088/390,690,467.44
  6. Step 6: Final answer
    x = 1,694,016,580.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.