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Finding the Third Proportional to 194,916 and 423,120

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Solution

The third proportional to 194,916 and 423,120 is: 918,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,916 : 423,120 = 423,120 : x
  2. Step 2: Convert to fraction form
    194,916/423,120 = 423,120/x
  3. Step 3: Cross multiply
    194,916x = 423,120 × 423,120
  4. Step 4: Simplify right side
    194,916x = 179,030,534,400
  5. Step 5: Solve for x
    x = 179,030,534,400/194,916
  6. Step 6: Final answer
    x = 918,500.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.