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Finding the Third Proportional to 143,786 and 210,531

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Solution

The third proportional to 143,786 and 210,531 is: 308,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,786 : 210,531 = 210,531 : x
  2. Step 2: Convert to fraction form
    143,786/210,531 = 210,531/x
  3. Step 3: Cross multiply
    143,786x = 210,531 × 210,531
  4. Step 4: Simplify right side
    143,786x = 44,323,301,961
  5. Step 5: Solve for x
    x = 44,323,301,961/143,786
  6. Step 6: Final answer
    x = 308,258.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.