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Finding the Third Proportional to 143,084 and 210,236

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Solution

The third proportional to 143,084 and 210,236 is: 308,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,084 : 210,236 = 210,236 : x
  2. Step 2: Convert to fraction form
    143,084/210,236 = 210,236/x
  3. Step 3: Cross multiply
    143,084x = 210,236 × 210,236
  4. Step 4: Simplify right side
    143,084x = 44,199,175,696
  5. Step 5: Solve for x
    x = 44,199,175,696/143,084
  6. Step 6: Final answer
    x = 308,903.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.