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Finding the Third Proportional to 143,051 and 210,197

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Solution

The third proportional to 143,051 and 210,197 is: 308,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,051 : 210,197 = 210,197 : x
  2. Step 2: Convert to fraction form
    143,051/210,197 = 210,197/x
  3. Step 3: Cross multiply
    143,051x = 210,197 × 210,197
  4. Step 4: Simplify right side
    143,051x = 44,182,778,809
  5. Step 5: Solve for x
    x = 44,182,778,809/143,051
  6. Step 6: Final answer
    x = 308,860.33

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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.