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Finding the Third Proportional to 189,408 and 420,854

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Solution

The third proportional to 189,408 and 420,854 is: 935,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,408 : 420,854 = 420,854 : x
  2. Step 2: Convert to fraction form
    189,408/420,854 = 420,854/x
  3. Step 3: Cross multiply
    189,408x = 420,854 × 420,854
  4. Step 4: Simplify right side
    189,408x = 177,118,089,316
  5. Step 5: Solve for x
    x = 177,118,089,316/189,408
  6. Step 6: Final answer
    x = 935,114.09

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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.