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Finding the Third Proportional to 13,749 and 22,129.50

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Solution

The third proportional to 13,749 and 22,129.50 is: 35,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749 : 22,129.50 = 22,129.50 : x
  2. Step 2: Convert to fraction form
    13,749/22,129.50 = 22,129.50/x
  3. Step 3: Cross multiply
    13,749x = 22,129.50 × 22,129.50
  4. Step 4: Simplify right side
    13,749x = 489,714,770.25
  5. Step 5: Solve for x
    x = 489,714,770.25/13,749
  6. Step 6: Final answer
    x = 35,618.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.