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Finding the Third Proportional to 173,200 and 380,421

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Solution

The third proportional to 173,200 and 380,421 is: 835,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,200 : 380,421 = 380,421 : x
  2. Step 2: Convert to fraction form
    173,200/380,421 = 380,421/x
  3. Step 3: Cross multiply
    173,200x = 380,421 × 380,421
  4. Step 4: Simplify right side
    173,200x = 144,720,137,241
  5. Step 5: Solve for x
    x = 144,720,137,241/173,200
  6. Step 6: Final answer
    x = 835,566.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.