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Finding the Third Proportional to 189,916 and 410,288

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Solution

The third proportional to 189,916 and 410,288 is: 886,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,916 : 410,288 = 410,288 : x
  2. Step 2: Convert to fraction form
    189,916/410,288 = 410,288/x
  3. Step 3: Cross multiply
    189,916x = 410,288 × 410,288
  4. Step 4: Simplify right side
    189,916x = 168,336,242,944
  5. Step 5: Solve for x
    x = 168,336,242,944/189,916
  6. Step 6: Final answer
    x = 886,372.10

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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.