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Finding the Third Proportional to 153,309,797,556 and 335,471,659,872

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Solution

The third proportional to 153,309,797,556 and 335,471,659,872 is: 734,077,249,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,309,797,556 : 335,471,659,872 = 335,471,659,872 : x
  2. Step 2: Convert to fraction form
    153,309,797,556/335,471,659,872 = 335,471,659,872/x
  3. Step 3: Cross multiply
    153,309,797,556x = 335,471,659,872 × 335,471,659,872
  4. Step 4: Simplify right side
    153,309,797,556x = 112,541,234,577,274,847,625,216
  5. Step 5: Solve for x
    x = 112,541,234,577,274,847,625,216/153,309,797,556
  6. Step 6: Final answer
    x = 734,077,249,930.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.