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Finding the Third Proportional to 142,634 and 220,863

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Solution

The third proportional to 142,634 and 220,863 is: 341,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,634 : 220,863 = 220,863 : x
  2. Step 2: Convert to fraction form
    142,634/220,863 = 220,863/x
  3. Step 3: Cross multiply
    142,634x = 220,863 × 220,863
  4. Step 4: Simplify right side
    142,634x = 48,780,464,769
  5. Step 5: Solve for x
    x = 48,780,464,769/142,634
  6. Step 6: Final answer
    x = 341,997.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.