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Finding the Third Proportional to 149,049 and 221,548.50

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Solution

The third proportional to 149,049 and 221,548.50 is: 329,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,049 : 221,548.50 = 221,548.50 : x
  2. Step 2: Convert to fraction form
    149,049/221,548.50 = 221,548.50/x
  3. Step 3: Cross multiply
    149,049x = 221,548.50 × 221,548.50
  4. Step 4: Simplify right side
    149,049x = 49,083,737,852.25
  5. Step 5: Solve for x
    x = 49,083,737,852.25/149,049
  6. Step 6: Final answer
    x = 329,312.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.