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Finding the Third Proportional to 90,542,774 and 196,127,312

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Solution

The third proportional to 90,542,774 and 196,127,312 is: 424,837,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,542,774 : 196,127,312 = 196,127,312 : x
  2. Step 2: Convert to fraction form
    90,542,774/196,127,312 = 196,127,312/x
  3. Step 3: Cross multiply
    90,542,774x = 196,127,312 × 196,127,312
  4. Step 4: Simplify right side
    90,542,774x = 38,465,922,512,345,344
  5. Step 5: Solve for x
    x = 38,465,922,512,345,344/90,542,774
  6. Step 6: Final answer
    x = 424,837,022.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.