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Finding the Third Proportional to 46,270,940 and 100,507,092

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Solution

The third proportional to 46,270,940 and 100,507,092 is: 218,315,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,270,940 : 100,507,092 = 100,507,092 : x
  2. Step 2: Convert to fraction form
    46,270,940/100,507,092 = 100,507,092/x
  3. Step 3: Cross multiply
    46,270,940x = 100,507,092 × 100,507,092
  4. Step 4: Simplify right side
    46,270,940x = 10,101,675,542,296,464
  5. Step 5: Solve for x
    x = 10,101,675,542,296,464/46,270,940
  6. Step 6: Final answer
    x = 218,315,762.38

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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.