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Finding the Third Proportional to 508,858,013 and 1,102,212,488

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Solution

The third proportional to 508,858,013 and 1,102,212,488 is: 2,387,448,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,858,013 : 1,102,212,488 = 1,102,212,488 : x
  2. Step 2: Convert to fraction form
    508,858,013/1,102,212,488 = 1,102,212,488/x
  3. Step 3: Cross multiply
    508,858,013x = 1,102,212,488 × 1,102,212,488
  4. Step 4: Simplify right side
    508,858,013x = 1,214,872,368,703,150,080
  5. Step 5: Solve for x
    x = 1,214,872,368,703,150,080/508,858,013
  6. Step 6: Final answer
    x = 2,387,448,635.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.