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Finding the Third Proportional to 143,077.25 and 221,441.75

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Solution

The third proportional to 143,077.25 and 221,441.75 is: 342,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,077.25 : 221,441.75 = 221,441.75 : x
  2. Step 2: Convert to fraction form
    143,077.25/221,441.75 = 221,441.75/x
  3. Step 3: Cross multiply
    143,077.25x = 221,441.75 × 221,441.75
  4. Step 4: Simplify right side
    143,077.25x = 49,036,448,643.06
  5. Step 5: Solve for x
    x = 49,036,448,643.06/143,077.25
  6. Step 6: Final answer
    x = 342,727.08

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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.