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Finding the Third Proportional to 163,422 and 221,787

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Solution

The third proportional to 163,422 and 221,787 is: 300,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,422 : 221,787 = 221,787 : x
  2. Step 2: Convert to fraction form
    163,422/221,787 = 221,787/x
  3. Step 3: Cross multiply
    163,422x = 221,787 × 221,787
  4. Step 4: Simplify right side
    163,422x = 49,189,473,369
  5. Step 5: Solve for x
    x = 49,189,473,369/163,422
  6. Step 6: Final answer
    x = 300,996.64

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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.