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Finding the Third Proportional to 64,821 and 99,997

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Solution

The third proportional to 64,821 and 99,997 is: 154,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,821 : 99,997 = 99,997 : x
  2. Step 2: Convert to fraction form
    64,821/99,997 = 99,997/x
  3. Step 3: Cross multiply
    64,821x = 99,997 × 99,997
  4. Step 4: Simplify right side
    64,821x = 9,999,400,009
  5. Step 5: Solve for x
    x = 9,999,400,009/64,821
  6. Step 6: Final answer
    x = 154,261.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.