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Finding the Third Proportional to 38,108,997 and 81,133,878

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Solution

The third proportional to 38,108,997 and 81,133,878 is: 172,733,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,108,997 : 81,133,878 = 81,133,878 : x
  2. Step 2: Convert to fraction form
    38,108,997/81,133,878 = 81,133,878/x
  3. Step 3: Cross multiply
    38,108,997x = 81,133,878 × 81,133,878
  4. Step 4: Simplify right side
    38,108,997x = 6,582,706,159,318,884
  5. Step 5: Solve for x
    x = 6,582,706,159,318,884/38,108,997
  6. Step 6: Final answer
    x = 172,733,650.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.