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Finding the Third Proportional to 199,770,284,890 and 288,633,563,743

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Solution

The third proportional to 199,770,284,890 and 288,633,563,743 is: 417,025,656,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,770,284,890 : 288,633,563,743 = 288,633,563,743 : x
  2. Step 2: Convert to fraction form
    199,770,284,890/288,633,563,743 = 288,633,563,743/x
  3. Step 3: Cross multiply
    199,770,284,890x = 288,633,563,743 × 288,633,563,743
  4. Step 4: Simplify right side
    199,770,284,890x = 83,309,334,118,984,442,707,968
  5. Step 5: Solve for x
    x = 83,309,334,118,984,442,707,968/199,770,284,890
  6. Step 6: Final answer
    x = 417,025,656,067.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.