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Finding the Third Proportional to 135,139,125.75 and 295,049,306.75

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Solution

The third proportional to 135,139,125.75 and 295,049,306.75 is: 644,181,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,139,125.75 : 295,049,306.75 = 295,049,306.75 : x
  2. Step 2: Convert to fraction form
    135,139,125.75/295,049,306.75 = 295,049,306.75/x
  3. Step 3: Cross multiply
    135,139,125.75x = 295,049,306.75 × 295,049,306.75
  4. Step 4: Simplify right side
    135,139,125.75x = 87,054,093,413,655,600
  5. Step 5: Solve for x
    x = 87,054,093,413,655,600/135,139,125.75
  6. Step 6: Final answer
    x = 644,181,268.23

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