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Finding the Third Proportional to 143,743.50 and 221,612.25

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Solution

The third proportional to 143,743.50 and 221,612.25 is: 341,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,743.50 : 221,612.25 = 221,612.25 : x
  2. Step 2: Convert to fraction form
    143,743.50/221,612.25 = 221,612.25/x
  3. Step 3: Cross multiply
    143,743.50x = 221,612.25 × 221,612.25
  4. Step 4: Simplify right side
    143,743.50x = 49,111,989,350.06
  5. Step 5: Solve for x
    x = 49,111,989,350.06/143,743.50
  6. Step 6: Final answer
    x = 341,664.07

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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.