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Finding the Third Proportional to 317,025,614.25 and 509,616,999

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Solution

The third proportional to 317,025,614.25 and 509,616,999 is: 819,206,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,025,614.25 : 509,616,999 = 509,616,999 : x
  2. Step 2: Convert to fraction form
    317,025,614.25/509,616,999 = 509,616,999/x
  3. Step 3: Cross multiply
    317,025,614.25x = 509,616,999 × 509,616,999
  4. Step 4: Simplify right side
    317,025,614.25x = 259,709,485,669,766,016
  5. Step 5: Solve for x
    x = 259,709,485,669,766,016/317,025,614.25
  6. Step 6: Final answer
    x = 819,206,631.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.