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Finding the Third Proportional to 189,370 and 412,638

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Solution

The third proportional to 189,370 and 412,638 is: 899,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,370 : 412,638 = 412,638 : x
  2. Step 2: Convert to fraction form
    189,370/412,638 = 412,638/x
  3. Step 3: Cross multiply
    189,370x = 412,638 × 412,638
  4. Step 4: Simplify right side
    189,370x = 170,270,119,044
  5. Step 5: Solve for x
    x = 170,270,119,044/189,370
  6. Step 6: Final answer
    x = 899,139.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.