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Finding the Third Proportional to 189,477 and 409,011

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Solution

The third proportional to 189,477 and 409,011 is: 882,903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,477 : 409,011 = 409,011 : x
  2. Step 2: Convert to fraction form
    189,477/409,011 = 409,011/x
  3. Step 3: Cross multiply
    189,477x = 409,011 × 409,011
  4. Step 4: Simplify right side
    189,477x = 167,289,998,121
  5. Step 5: Solve for x
    x = 167,289,998,121/189,477
  6. Step 6: Final answer
    x = 882,903.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.