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Finding the Third Proportional to 149,724 and 219,000

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Solution

The third proportional to 149,724 and 219,000 is: 320,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,724 : 219,000 = 219,000 : x
  2. Step 2: Convert to fraction form
    149,724/219,000 = 219,000/x
  3. Step 3: Cross multiply
    149,724x = 219,000 × 219,000
  4. Step 4: Simplify right side
    149,724x = 47,961,000,000
  5. Step 5: Solve for x
    x = 47,961,000,000/149,724
  6. Step 6: Final answer
    x = 320,329.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.