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Finding the Third Proportional to 143,210 and 221,295

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Solution

The third proportional to 143,210 and 221,295 is: 341,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,210 : 221,295 = 221,295 : x
  2. Step 2: Convert to fraction form
    143,210/221,295 = 221,295/x
  3. Step 3: Cross multiply
    143,210x = 221,295 × 221,295
  4. Step 4: Simplify right side
    143,210x = 48,971,477,025
  5. Step 5: Solve for x
    x = 48,971,477,025/143,210
  6. Step 6: Final answer
    x = 341,955.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.