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Finding the Third Proportional to 220,429.50 and 329,788.50

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Solution

The third proportional to 220,429.50 and 329,788.50 is: 493,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,429.50 : 329,788.50 = 329,788.50 : x
  2. Step 2: Convert to fraction form
    220,429.50/329,788.50 = 329,788.50/x
  3. Step 3: Cross multiply
    220,429.50x = 329,788.50 × 329,788.50
  4. Step 4: Simplify right side
    220,429.50x = 108,760,454,732.25
  5. Step 5: Solve for x
    x = 108,760,454,732.25/220,429.50
  6. Step 6: Final answer
    x = 493,402.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.