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Finding the Third Proportional to 91,457,976,979 and 198,113,439,375

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Solution

The third proportional to 91,457,976,979 and 198,113,439,375 is: 429,147,201,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,457,976,979 : 198,113,439,375 = 198,113,439,375 : x
  2. Step 2: Convert to fraction form
    91,457,976,979/198,113,439,375 = 198,113,439,375/x
  3. Step 3: Cross multiply
    91,457,976,979x = 198,113,439,375 × 198,113,439,375
  4. Step 4: Simplify right side
    91,457,976,979x = 39,248,934,860,991,802,376,192
  5. Step 5: Solve for x
    x = 39,248,934,860,991,802,376,192/91,457,976,979
  6. Step 6: Final answer
    x = 429,147,201,342.58

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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.