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Finding the Third Proportional to 173,205 and 380,403

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Solution

The third proportional to 173,205 and 380,403 is: 835,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,205 : 380,403 = 380,403 : x
  2. Step 2: Convert to fraction form
    173,205/380,403 = 380,403/x
  3. Step 3: Cross multiply
    173,205x = 380,403 × 380,403
  4. Step 4: Simplify right side
    173,205x = 144,706,442,409
  5. Step 5: Solve for x
    x = 144,706,442,409/173,205
  6. Step 6: Final answer
    x = 835,463.42

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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.