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Finding the Third Proportional to 100,858 and 137,043

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Solution

The third proportional to 100,858 and 137,043 is: 186,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,858 : 137,043 = 137,043 : x
  2. Step 2: Convert to fraction form
    100,858/137,043 = 137,043/x
  3. Step 3: Cross multiply
    100,858x = 137,043 × 137,043
  4. Step 4: Simplify right side
    100,858x = 18,780,783,849
  5. Step 5: Solve for x
    x = 18,780,783,849/100,858
  6. Step 6: Final answer
    x = 186,210.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.