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Finding the Third Proportional to 149,998 and 210,990

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Solution

The third proportional to 149,998 and 210,990 is: 296,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,998 : 210,990 = 210,990 : x
  2. Step 2: Convert to fraction form
    149,998/210,990 = 210,990/x
  3. Step 3: Cross multiply
    149,998x = 210,990 × 210,990
  4. Step 4: Simplify right side
    149,998x = 44,516,780,100
  5. Step 5: Solve for x
    x = 44,516,780,100/149,998
  6. Step 6: Final answer
    x = 296,782.49

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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.