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Finding the Third Proportional to 311,076 and 666,378

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Solution

The third proportional to 311,076 and 666,378 is: 1,427,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,076 : 666,378 = 666,378 : x
  2. Step 2: Convert to fraction form
    311,076/666,378 = 666,378/x
  3. Step 3: Cross multiply
    311,076x = 666,378 × 666,378
  4. Step 4: Simplify right side
    311,076x = 444,059,638,884
  5. Step 5: Solve for x
    x = 444,059,638,884/311,076
  6. Step 6: Final answer
    x = 1,427,495.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.