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Finding the Third Proportional to 90,920,081 and 199,442,757.50

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Solution

The third proportional to 90,920,081 and 199,442,757.50 is: 437,498,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,920,081 : 199,442,757.50 = 199,442,757.50 : x
  2. Step 2: Convert to fraction form
    90,920,081/199,442,757.50 = 199,442,757.50/x
  3. Step 3: Cross multiply
    90,920,081x = 199,442,757.50 × 199,442,757.50
  4. Step 4: Simplify right side
    90,920,081x = 39,777,413,519,203,808
  5. Step 5: Solve for x
    x = 39,777,413,519,203,808/90,920,081
  6. Step 6: Final answer
    x = 437,498,659.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.