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Finding the Third Proportional to 103,987 and 158,169

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Solution

The third proportional to 103,987 and 158,169 is: 240,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,987 : 158,169 = 158,169 : x
  2. Step 2: Convert to fraction form
    103,987/158,169 = 158,169/x
  3. Step 3: Cross multiply
    103,987x = 158,169 × 158,169
  4. Step 4: Simplify right side
    103,987x = 25,017,432,561
  5. Step 5: Solve for x
    x = 25,017,432,561/103,987
  6. Step 6: Final answer
    x = 240,582.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.