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Finding the Third Proportional to 135,139,122.50 and 295,049,296

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Solution

The third proportional to 135,139,122.50 and 295,049,296 is: 644,181,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,139,122.50 : 295,049,296 = 295,049,296 : x
  2. Step 2: Convert to fraction form
    135,139,122.50/295,049,296 = 295,049,296/x
  3. Step 3: Cross multiply
    135,139,122.50x = 295,049,296 × 295,049,296
  4. Step 4: Simplify right side
    135,139,122.50x = 87,054,087,070,095,616
  5. Step 5: Solve for x
    x = 87,054,087,070,095,616/135,139,122.50
  6. Step 6: Final answer
    x = 644,181,236.79

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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.