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Finding the Third Proportional to 145,972 and 219,606

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Solution

The third proportional to 145,972 and 219,606 is: 330,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,972 : 219,606 = 219,606 : x
  2. Step 2: Convert to fraction form
    145,972/219,606 = 219,606/x
  3. Step 3: Cross multiply
    145,972x = 219,606 × 219,606
  4. Step 4: Simplify right side
    145,972x = 48,226,795,236
  5. Step 5: Solve for x
    x = 48,226,795,236/145,972
  6. Step 6: Final answer
    x = 330,383.88

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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.