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Finding the Third Proportional to 311,130 and 666,468

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Solution

The third proportional to 311,130 and 666,468 is: 1,427,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,130 : 666,468 = 666,468 : x
  2. Step 2: Convert to fraction form
    311,130/666,468 = 666,468/x
  3. Step 3: Cross multiply
    311,130x = 666,468 × 666,468
  4. Step 4: Simplify right side
    311,130x = 444,179,595,024
  5. Step 5: Solve for x
    x = 444,179,595,024/311,130
  6. Step 6: Final answer
    x = 1,427,633.45

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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.