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Finding the Third Proportional to 105,187 and 143,709

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Solution

The third proportional to 105,187 and 143,709 is: 196,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,187 : 143,709 = 143,709 : x
  2. Step 2: Convert to fraction form
    105,187/143,709 = 143,709/x
  3. Step 3: Cross multiply
    105,187x = 143,709 × 143,709
  4. Step 4: Simplify right side
    105,187x = 20,652,276,681
  5. Step 5: Solve for x
    x = 20,652,276,681/105,187
  6. Step 6: Final answer
    x = 196,338.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.