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Finding the Third Proportional to 101,382,993 and 208,140,603

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Solution

The third proportional to 101,382,993 and 208,140,603 is: 427,315,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,382,993 : 208,140,603 = 208,140,603 : x
  2. Step 2: Convert to fraction form
    101,382,993/208,140,603 = 208,140,603/x
  3. Step 3: Cross multiply
    101,382,993x = 208,140,603 × 208,140,603
  4. Step 4: Simplify right side
    101,382,993x = 43,322,510,617,203,608
  5. Step 5: Solve for x
    x = 43,322,510,617,203,608/101,382,993
  6. Step 6: Final answer
    x = 427,315,364.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.