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Finding the Third Proportional to 149,555.11 and 221,984.30

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Solution

The third proportional to 149,555.11 and 221,984.30 is: 329,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,555.11 : 221,984.30 = 221,984.30 : x
  2. Step 2: Convert to fraction form
    149,555.11/221,984.30 = 221,984.30/x
  3. Step 3: Cross multiply
    149,555.11x = 221,984.30 × 221,984.30
  4. Step 4: Simplify right side
    149,555.11x = 49,277,028,059.09
  5. Step 5: Solve for x
    x = 49,277,028,059.09/149,555.11
  6. Step 6: Final answer
    x = 329,490.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.