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Finding the Third Proportional to 137,875 and 189,861

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Solution

The third proportional to 137,875 and 189,861 is: 261,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,875 : 189,861 = 189,861 : x
  2. Step 2: Convert to fraction form
    137,875/189,861 = 189,861/x
  3. Step 3: Cross multiply
    137,875x = 189,861 × 189,861
  4. Step 4: Simplify right side
    137,875x = 36,047,199,321
  5. Step 5: Solve for x
    x = 36,047,199,321/137,875
  6. Step 6: Final answer
    x = 261,448.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.