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Finding the Third Proportional to 142,783 and 214,202

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Solution

The third proportional to 142,783 and 214,202 is: 321,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,783 : 214,202 = 214,202 : x
  2. Step 2: Convert to fraction form
    142,783/214,202 = 214,202/x
  3. Step 3: Cross multiply
    142,783x = 214,202 × 214,202
  4. Step 4: Simplify right side
    142,783x = 45,882,496,804
  5. Step 5: Solve for x
    x = 45,882,496,804/142,783
  6. Step 6: Final answer
    x = 321,344.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.