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Finding the Third Proportional to 90,850,250,381 and 198,798,020,615

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Solution

The third proportional to 90,850,250,381 and 198,798,020,615 is: 435,008,740,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,850,250,381 : 198,798,020,615 = 198,798,020,615 : x
  2. Step 2: Convert to fraction form
    90,850,250,381/198,798,020,615 = 198,798,020,615/x
  3. Step 3: Cross multiply
    90,850,250,381x = 198,798,020,615 × 198,798,020,615
  4. Step 4: Simplify right side
    90,850,250,381x = 39,520,653,000,441,965,051,904
  5. Step 5: Solve for x
    x = 39,520,653,000,441,965,051,904/90,850,250,381
  6. Step 6: Final answer
    x = 435,008,740,589.09

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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.