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Finding the Third Proportional to 105,552 and 163,228

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Solution

The third proportional to 105,552 and 163,228 is: 252,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,552 : 163,228 = 163,228 : x
  2. Step 2: Convert to fraction form
    105,552/163,228 = 163,228/x
  3. Step 3: Cross multiply
    105,552x = 163,228 × 163,228
  4. Step 4: Simplify right side
    105,552x = 26,643,379,984
  5. Step 5: Solve for x
    x = 26,643,379,984/105,552
  6. Step 6: Final answer
    x = 252,419.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.