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Finding the Third Proportional to 149,981 and 210,937

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Solution

The third proportional to 149,981 and 210,937 is: 296,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,981 : 210,937 = 210,937 : x
  2. Step 2: Convert to fraction form
    149,981/210,937 = 210,937/x
  3. Step 3: Cross multiply
    149,981x = 210,937 × 210,937
  4. Step 4: Simplify right side
    149,981x = 44,494,417,969
  5. Step 5: Solve for x
    x = 44,494,417,969/149,981
  6. Step 6: Final answer
    x = 296,667.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.