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Finding the Third Proportional to 140,043 and 210,168

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Solution

The third proportional to 140,043 and 210,168 is: 315,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,043 : 210,168 = 210,168 : x
  2. Step 2: Convert to fraction form
    140,043/210,168 = 210,168/x
  3. Step 3: Cross multiply
    140,043x = 210,168 × 210,168
  4. Step 4: Simplify right side
    140,043x = 44,170,588,224
  5. Step 5: Solve for x
    x = 44,170,588,224/140,043
  6. Step 6: Final answer
    x = 315,407.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.