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Finding the Third Proportional to 209,469 and 299,299.50

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Solution

The third proportional to 209,469 and 299,299.50 is: 427,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,469 : 299,299.50 = 299,299.50 : x
  2. Step 2: Convert to fraction form
    209,469/299,299.50 = 299,299.50/x
  3. Step 3: Cross multiply
    209,469x = 299,299.50 × 299,299.50
  4. Step 4: Simplify right side
    209,469x = 89,580,190,700.25
  5. Step 5: Solve for x
    x = 89,580,190,700.25/209,469
  6. Step 6: Final answer
    x = 427,653.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.