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Finding the Third Proportional to 105,639 and 163,821

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Solution

The third proportional to 105,639 and 163,821 is: 254,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,639 : 163,821 = 163,821 : x
  2. Step 2: Convert to fraction form
    105,639/163,821 = 163,821/x
  3. Step 3: Cross multiply
    105,639x = 163,821 × 163,821
  4. Step 4: Simplify right side
    105,639x = 26,837,320,041
  5. Step 5: Solve for x
    x = 26,837,320,041/105,639
  6. Step 6: Final answer
    x = 254,047.46

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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.