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Finding the Third Proportional to 219,793.50 and 321,428.25

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Solution

The third proportional to 219,793.50 and 321,428.25 is: 470,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,793.50 : 321,428.25 = 321,428.25 : x
  2. Step 2: Convert to fraction form
    219,793.50/321,428.25 = 321,428.25/x
  3. Step 3: Cross multiply
    219,793.50x = 321,428.25 × 321,428.25
  4. Step 4: Simplify right side
    219,793.50x = 103,316,119,898.06
  5. Step 5: Solve for x
    x = 103,316,119,898.06/219,793.50
  6. Step 6: Final answer
    x = 470,059.94

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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.