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Finding the Third Proportional to 221,388 and 345,906

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Solution

The third proportional to 221,388 and 345,906 is: 540,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,388 : 345,906 = 345,906 : x
  2. Step 2: Convert to fraction form
    221,388/345,906 = 345,906/x
  3. Step 3: Cross multiply
    221,388x = 345,906 × 345,906
  4. Step 4: Simplify right side
    221,388x = 119,650,960,836
  5. Step 5: Solve for x
    x = 119,650,960,836/221,388
  6. Step 6: Final answer
    x = 540,458.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.