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Finding the Third Proportional to 142,868 and 218,883

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Solution

The third proportional to 142,868 and 218,883 is: 335,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,868 : 218,883 = 218,883 : x
  2. Step 2: Convert to fraction form
    142,868/218,883 = 218,883/x
  3. Step 3: Cross multiply
    142,868x = 218,883 × 218,883
  4. Step 4: Simplify right side
    142,868x = 47,909,767,689
  5. Step 5: Solve for x
    x = 47,909,767,689/142,868
  6. Step 6: Final answer
    x = 335,342.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.