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Finding the Third Proportional to 163,960 and 222,536

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Solution

The third proportional to 163,960 and 222,536 is: 302,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,960 : 222,536 = 222,536 : x
  2. Step 2: Convert to fraction form
    163,960/222,536 = 222,536/x
  3. Step 3: Cross multiply
    163,960x = 222,536 × 222,536
  4. Step 4: Simplify right side
    163,960x = 49,522,271,296
  5. Step 5: Solve for x
    x = 49,522,271,296/163,960
  6. Step 6: Final answer
    x = 302,038.74

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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.