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Finding the Third Proportional to 143,840 and 225,643

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Solution

The third proportional to 143,840 and 225,643 is: 353,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,840 : 225,643 = 225,643 : x
  2. Step 2: Convert to fraction form
    143,840/225,643 = 225,643/x
  3. Step 3: Cross multiply
    143,840x = 225,643 × 225,643
  4. Step 4: Simplify right side
    143,840x = 50,914,763,449
  5. Step 5: Solve for x
    x = 50,914,763,449/143,840
  6. Step 6: Final answer
    x = 353,968.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.