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Finding the Third Proportional to 163,489 and 221,905

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Solution

The third proportional to 163,489 and 221,905 is: 301,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,489 : 221,905 = 221,905 : x
  2. Step 2: Convert to fraction form
    163,489/221,905 = 221,905/x
  3. Step 3: Cross multiply
    163,489x = 221,905 × 221,905
  4. Step 4: Simplify right side
    163,489x = 49,241,829,025
  5. Step 5: Solve for x
    x = 49,241,829,025/163,489
  6. Step 6: Final answer
    x = 301,193.53

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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.