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Finding the Third Proportional to 143,516 and 221,330

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Solution

The third proportional to 143,516 and 221,330 is: 341,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,516 : 221,330 = 221,330 : x
  2. Step 2: Convert to fraction form
    143,516/221,330 = 221,330/x
  3. Step 3: Cross multiply
    143,516x = 221,330 × 221,330
  4. Step 4: Simplify right side
    143,516x = 48,986,968,900
  5. Step 5: Solve for x
    x = 48,986,968,900/143,516
  6. Step 6: Final answer
    x = 341,334.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.