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Finding the Third Proportional to 83,589,531 and 129,110,920.50

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Solution

The third proportional to 83,589,531 and 129,110,920.50 is: 199,422,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,589,531 : 129,110,920.50 = 129,110,920.50 : x
  2. Step 2: Convert to fraction form
    83,589,531/129,110,920.50 = 129,110,920.50/x
  3. Step 3: Cross multiply
    83,589,531x = 129,110,920.50 × 129,110,920.50
  4. Step 4: Simplify right side
    83,589,531x = 16,669,629,792,357,320
  5. Step 5: Solve for x
    x = 16,669,629,792,357,320/83,589,531
  6. Step 6: Final answer
    x = 199,422,458.69

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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.