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Finding the Third Proportional to 142,016 and 219,894

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Solution

The third proportional to 142,016 and 219,894 is: 340,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,016 : 219,894 = 219,894 : x
  2. Step 2: Convert to fraction form
    142,016/219,894 = 219,894/x
  3. Step 3: Cross multiply
    142,016x = 219,894 × 219,894
  4. Step 4: Simplify right side
    142,016x = 48,353,371,236
  5. Step 5: Solve for x
    x = 48,353,371,236/142,016
  6. Step 6: Final answer
    x = 340,478.34

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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.