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Finding the Third Proportional to 172,921 and 264,629

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Solution

The third proportional to 172,921 and 264,629 is: 404,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,921 : 264,629 = 264,629 : x
  2. Step 2: Convert to fraction form
    172,921/264,629 = 264,629/x
  3. Step 3: Cross multiply
    172,921x = 264,629 × 264,629
  4. Step 4: Simplify right side
    172,921x = 70,028,507,641
  5. Step 5: Solve for x
    x = 70,028,507,641/172,921
  6. Step 6: Final answer
    x = 404,973.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.