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Finding the Third Proportional to 128,124,515.50 and 191,347,183.50

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Solution

The third proportional to 128,124,515.50 and 191,347,183.50 is: 285,766,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,124,515.50 : 191,347,183.50 = 191,347,183.50 : x
  2. Step 2: Convert to fraction form
    128,124,515.50/191,347,183.50 = 191,347,183.50/x
  3. Step 3: Cross multiply
    128,124,515.50x = 191,347,183.50 × 191,347,183.50
  4. Step 4: Simplify right side
    128,124,515.50x = 36,613,744,633,382,672
  5. Step 5: Solve for x
    x = 36,613,744,633,382,672/128,124,515.50
  6. Step 6: Final answer
    x = 285,766,892.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.