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Finding the Third Proportional to 143,439 and 221,206.50

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Solution

The third proportional to 143,439 and 221,206.50 is: 341,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,439 : 221,206.50 = 221,206.50 : x
  2. Step 2: Convert to fraction form
    143,439/221,206.50 = 221,206.50/x
  3. Step 3: Cross multiply
    143,439x = 221,206.50 × 221,206.50
  4. Step 4: Simplify right side
    143,439x = 48,932,315,642.25
  5. Step 5: Solve for x
    x = 48,932,315,642.25/143,439
  6. Step 6: Final answer
    x = 341,136.76

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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.