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Finding the Third Proportional to 199,509 and 299,457

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Solution

The third proportional to 199,509 and 299,457 is: 449,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,509 : 299,457 = 299,457 : x
  2. Step 2: Convert to fraction form
    199,509/299,457 = 299,457/x
  3. Step 3: Cross multiply
    199,509x = 299,457 × 299,457
  4. Step 4: Simplify right side
    199,509x = 89,674,494,849
  5. Step 5: Solve for x
    x = 89,674,494,849/199,509
  6. Step 6: Final answer
    x = 449,475.94

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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.