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Finding the Third Proportional to 121,181,072 and 191,916,728

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Solution

The third proportional to 121,181,072 and 191,916,728 is: 303,942,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,181,072 : 191,916,728 = 191,916,728 : x
  2. Step 2: Convert to fraction form
    121,181,072/191,916,728 = 191,916,728/x
  3. Step 3: Cross multiply
    121,181,072x = 191,916,728 × 191,916,728
  4. Step 4: Simplify right side
    121,181,072x = 36,832,030,486,225,984
  5. Step 5: Solve for x
    x = 36,832,030,486,225,984/121,181,072
  6. Step 6: Final answer
    x = 303,942,108.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.