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Finding the Third Proportional to 63,851 and 101,057

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Solution

The third proportional to 63,851 and 101,057 is: 159,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,851 : 101,057 = 101,057 : x
  2. Step 2: Convert to fraction form
    63,851/101,057 = 101,057/x
  3. Step 3: Cross multiply
    63,851x = 101,057 × 101,057
  4. Step 4: Simplify right side
    63,851x = 10,212,517,249
  5. Step 5: Solve for x
    x = 10,212,517,249/63,851
  6. Step 6: Final answer
    x = 159,942.95

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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.