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Finding the Third Proportional to 149,058 and 218,835

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Solution

The third proportional to 149,058 and 218,835 is: 321,275.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,058 : 218,835 = 218,835 : x
  2. Step 2: Convert to fraction form
    149,058/218,835 = 218,835/x
  3. Step 3: Cross multiply
    149,058x = 218,835 × 218,835
  4. Step 4: Simplify right side
    149,058x = 47,888,757,225
  5. Step 5: Solve for x
    x = 47,888,757,225/149,058
  6. Step 6: Final answer
    x = 321,275.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.