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Finding the Third Proportional to 121,212,449 and 181,958,642

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Solution

The third proportional to 121,212,449 and 181,958,642 is: 273,148,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,212,449 : 181,958,642 = 181,958,642 : x
  2. Step 2: Convert to fraction form
    121,212,449/181,958,642 = 181,958,642/x
  3. Step 3: Cross multiply
    121,212,449x = 181,958,642 × 181,958,642
  4. Step 4: Simplify right side
    121,212,449x = 33,108,947,398,484,164
  5. Step 5: Solve for x
    x = 33,108,947,398,484,164/121,212,449
  6. Step 6: Final answer
    x = 273,148,077.38

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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.