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Finding the Third Proportional to 286,660 and 669,400

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Solution

The third proportional to 286,660 and 669,400 is: 1,563,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,660 : 669,400 = 669,400 : x
  2. Step 2: Convert to fraction form
    286,660/669,400 = 669,400/x
  3. Step 3: Cross multiply
    286,660x = 669,400 × 669,400
  4. Step 4: Simplify right side
    286,660x = 448,096,360,000
  5. Step 5: Solve for x
    x = 448,096,360,000/286,660
  6. Step 6: Final answer
    x = 1,563,163.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.