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Finding the Third Proportional to 408,197,609.16 and 630,341,906.98

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Solution

The third proportional to 408,197,609.16 and 630,341,906.98 is: 973,378,850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,197,609.16 : 630,341,906.98 = 630,341,906.98 : x
  2. Step 2: Convert to fraction form
    408,197,609.16/630,341,906.98 = 630,341,906.98/x
  3. Step 3: Cross multiply
    408,197,609.16x = 630,341,906.98 × 630,341,906.98
  4. Step 4: Simplify right side
    408,197,609.16x = 397,330,919,690,858,816
  5. Step 5: Solve for x
    x = 397,330,919,690,858,816/408,197,609.16
  6. Step 6: Final answer
    x = 973,378,850.78

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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.