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Finding the Third Proportional to 189,402 and 420,846

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Solution

The third proportional to 189,402 and 420,846 is: 935,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,402 : 420,846 = 420,846 : x
  2. Step 2: Convert to fraction form
    189,402/420,846 = 420,846/x
  3. Step 3: Cross multiply
    189,402x = 420,846 × 420,846
  4. Step 4: Simplify right side
    189,402x = 177,111,355,716
  5. Step 5: Solve for x
    x = 177,111,355,716/189,402
  6. Step 6: Final answer
    x = 935,108.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.