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Finding the Third Proportional to 64,815 and 105,837

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Solution

The third proportional to 64,815 and 105,837 is: 172,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,815 : 105,837 = 105,837 : x
  2. Step 2: Convert to fraction form
    64,815/105,837 = 105,837/x
  3. Step 3: Cross multiply
    64,815x = 105,837 × 105,837
  4. Step 4: Simplify right side
    64,815x = 11,201,470,569
  5. Step 5: Solve for x
    x = 11,201,470,569/64,815
  6. Step 6: Final answer
    x = 172,822.20

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.