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Finding the Third Proportional to 163,384 and 221,740

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Solution

The third proportional to 163,384 and 221,740 is: 300,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,384 : 221,740 = 221,740 : x
  2. Step 2: Convert to fraction form
    163,384/221,740 = 221,740/x
  3. Step 3: Cross multiply
    163,384x = 221,740 × 221,740
  4. Step 4: Simplify right side
    163,384x = 49,168,627,600
  5. Step 5: Solve for x
    x = 49,168,627,600/163,384
  6. Step 6: Final answer
    x = 300,939.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.