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Finding the Third Proportional to 172,489 and 377,041

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Solution

The third proportional to 172,489 and 377,041 is: 824,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,489 : 377,041 = 377,041 : x
  2. Step 2: Convert to fraction form
    172,489/377,041 = 377,041/x
  3. Step 3: Cross multiply
    172,489x = 377,041 × 377,041
  4. Step 4: Simplify right side
    172,489x = 142,159,915,681
  5. Step 5: Solve for x
    x = 142,159,915,681/172,489
  6. Step 6: Final answer
    x = 824,168.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.