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Finding the Third Proportional to 191,260.50 and 420,267

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Solution

The third proportional to 191,260.50 and 420,267 is: 923,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,260.50 : 420,267 = 420,267 : x
  2. Step 2: Convert to fraction form
    191,260.50/420,267 = 420,267/x
  3. Step 3: Cross multiply
    191,260.50x = 420,267 × 420,267
  4. Step 4: Simplify right side
    191,260.50x = 176,624,351,289
  5. Step 5: Solve for x
    x = 176,624,351,289/191,260.50
  6. Step 6: Final answer
    x = 923,475.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.