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Finding the Third Proportional to 340,404 and 477,015

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Solution

The third proportional to 340,404 and 477,015 is: 668,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,404 : 477,015 = 477,015 : x
  2. Step 2: Convert to fraction form
    340,404/477,015 = 477,015/x
  3. Step 3: Cross multiply
    340,404x = 477,015 × 477,015
  4. Step 4: Simplify right side
    340,404x = 227,543,310,225
  5. Step 5: Solve for x
    x = 227,543,310,225/340,404
  6. Step 6: Final answer
    x = 668,450.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.