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Finding the Third Proportional to 105,669 and 163,873

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Solution

The third proportional to 105,669 and 163,873 is: 254,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,669 : 163,873 = 163,873 : x
  2. Step 2: Convert to fraction form
    105,669/163,873 = 163,873/x
  3. Step 3: Cross multiply
    105,669x = 163,873 × 163,873
  4. Step 4: Simplify right side
    105,669x = 26,854,360,129
  5. Step 5: Solve for x
    x = 26,854,360,129/105,669
  6. Step 6: Final answer
    x = 254,136.60

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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.