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Finding the Third Proportional to 91,086,612 and 198,346,089.50

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Solution

The third proportional to 91,086,612 and 198,346,089.50 is: 431,909,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,086,612 : 198,346,089.50 = 198,346,089.50 : x
  2. Step 2: Convert to fraction form
    91,086,612/198,346,089.50 = 198,346,089.50/x
  3. Step 3: Cross multiply
    91,086,612x = 198,346,089.50 × 198,346,089.50
  4. Step 4: Simplify right side
    91,086,612x = 39,341,171,219,942,008
  5. Step 5: Solve for x
    x = 39,341,171,219,942,008/91,086,612
  6. Step 6: Final answer
    x = 431,909,479.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.