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Finding the Third Proportional to 209,270,931.75 and 488,795,958

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Solution

The third proportional to 209,270,931.75 and 488,795,958 is: 1,141,685,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,270,931.75 : 488,795,958 = 488,795,958 : x
  2. Step 2: Convert to fraction form
    209,270,931.75/488,795,958 = 488,795,958/x
  3. Step 3: Cross multiply
    209,270,931.75x = 488,795,958 × 488,795,958
  4. Step 4: Simplify right side
    209,270,931.75x = 238,921,488,557,137,760
  5. Step 5: Solve for x
    x = 238,921,488,557,137,760/209,270,931.75
  6. Step 6: Final answer
    x = 1,141,685,023.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.