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Finding the Third Proportional to 143,820 and 214,909

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Solution

The third proportional to 143,820 and 214,909 is: 321,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,820 : 214,909 = 214,909 : x
  2. Step 2: Convert to fraction form
    143,820/214,909 = 214,909/x
  3. Step 3: Cross multiply
    143,820x = 214,909 × 214,909
  4. Step 4: Simplify right side
    143,820x = 46,185,878,281
  5. Step 5: Solve for x
    x = 46,185,878,281/143,820
  6. Step 6: Final answer
    x = 321,136.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.