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Finding the Third Proportional to 209,770,454 and 329,067,944

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Solution

The third proportional to 209,770,454 and 329,067,944 is: 516,210,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,770,454 : 329,067,944 = 329,067,944 : x
  2. Step 2: Convert to fraction form
    209,770,454/329,067,944 = 329,067,944/x
  3. Step 3: Cross multiply
    209,770,454x = 329,067,944 × 329,067,944
  4. Step 4: Simplify right side
    209,770,454x = 108,285,711,768,387,136
  5. Step 5: Solve for x
    x = 108,285,711,768,387,136/209,770,454
  6. Step 6: Final answer
    x = 516,210,503.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.