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Finding the Third Proportional to 143,580 and 201,200

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Solution

The third proportional to 143,580 and 201,200 is: 281,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,580 : 201,200 = 201,200 : x
  2. Step 2: Convert to fraction form
    143,580/201,200 = 201,200/x
  3. Step 3: Cross multiply
    143,580x = 201,200 × 201,200
  4. Step 4: Simplify right side
    143,580x = 40,481,440,000
  5. Step 5: Solve for x
    x = 40,481,440,000/143,580
  6. Step 6: Final answer
    x = 281,943.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.