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Finding the Third Proportional to 221,120 and 350,696

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Solution

The third proportional to 221,120 and 350,696 is: 556,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,120 : 350,696 = 350,696 : x
  2. Step 2: Convert to fraction form
    221,120/350,696 = 350,696/x
  3. Step 3: Cross multiply
    221,120x = 350,696 × 350,696
  4. Step 4: Simplify right side
    221,120x = 122,987,684,416
  5. Step 5: Solve for x
    x = 122,987,684,416/221,120
  6. Step 6: Final answer
    x = 556,203.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.