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Finding the Third Proportional to 90,783,117.50 and 194,791,366

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Solution

The third proportional to 90,783,117.50 and 194,791,366 is: 417,959,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,783,117.50 : 194,791,366 = 194,791,366 : x
  2. Step 2: Convert to fraction form
    90,783,117.50/194,791,366 = 194,791,366/x
  3. Step 3: Cross multiply
    90,783,117.50x = 194,791,366 × 194,791,366
  4. Step 4: Simplify right side
    90,783,117.50x = 37,943,676,268,145,952
  5. Step 5: Solve for x
    x = 37,943,676,268,145,952/90,783,117.50
  6. Step 6: Final answer
    x = 417,959,608.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.