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Finding the Third Proportional to 189,402 and 408,848

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Solution

The third proportional to 189,402 and 408,848 is: 882,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,402 : 408,848 = 408,848 : x
  2. Step 2: Convert to fraction form
    189,402/408,848 = 408,848/x
  3. Step 3: Cross multiply
    189,402x = 408,848 × 408,848
  4. Step 4: Simplify right side
    189,402x = 167,156,687,104
  5. Step 5: Solve for x
    x = 167,156,687,104/189,402
  6. Step 6: Final answer
    x = 882,549.75

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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.