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Finding the Third Proportional to 121,452,131,369 and 267,194,264,207.50

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Solution

The third proportional to 121,452,131,369 and 267,194,264,207.50 is: 587,826,446,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,452,131,369 : 267,194,264,207.50 = 267,194,264,207.50 : x
  2. Step 2: Convert to fraction form
    121,452,131,369/267,194,264,207.50 = 267,194,264,207.50/x
  3. Step 3: Cross multiply
    121,452,131,369x = 267,194,264,207.50 × 267,194,264,207.50
  4. Step 4: Simplify right side
    121,452,131,369x = 71,392,774,825,387,317,264,384
  5. Step 5: Solve for x
    x = 71,392,774,825,387,317,264,384/121,452,131,369
  6. Step 6: Final answer
    x = 587,826,446,688.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.