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Finding the Third Proportional to 227,916 and 456,120

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Solution

The third proportional to 227,916 and 456,120 is: 912,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,916 : 456,120 = 456,120 : x
  2. Step 2: Convert to fraction form
    227,916/456,120 = 456,120/x
  3. Step 3: Cross multiply
    227,916x = 456,120 × 456,120
  4. Step 4: Simplify right side
    227,916x = 208,045,454,400
  5. Step 5: Solve for x
    x = 208,045,454,400/227,916
  6. Step 6: Final answer
    x = 912,816.36

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.