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Finding the Third Proportional to 181,400 and 423,599

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Solution

The third proportional to 181,400 and 423,599 is: 989,173.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,400 : 423,599 = 423,599 : x
  2. Step 2: Convert to fraction form
    181,400/423,599 = 423,599/x
  3. Step 3: Cross multiply
    181,400x = 423,599 × 423,599
  4. Step 4: Simplify right side
    181,400x = 179,436,112,801
  5. Step 5: Solve for x
    x = 179,436,112,801/181,400
  6. Step 6: Final answer
    x = 989,173.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.