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Finding the Third Proportional to 2,208,066,540 and 3,313,716,288

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Solution

The third proportional to 2,208,066,540 and 3,313,716,288 is: 4,973,000,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208,066,540 : 3,313,716,288 = 3,313,716,288 : x
  2. Step 2: Convert to fraction form
    2,208,066,540/3,313,716,288 = 3,313,716,288/x
  3. Step 3: Cross multiply
    2,208,066,540x = 3,313,716,288 × 3,313,716,288
  4. Step 4: Simplify right side
    2,208,066,540x = 10,980,715,637,356,498,944
  5. Step 5: Solve for x
    x = 10,980,715,637,356,498,944/2,208,066,540
  6. Step 6: Final answer
    x = 4,973,000,332.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.