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Finding the Third Proportional to 259,434 and 565,821

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Solution

The third proportional to 259,434 and 565,821 is: 1,234,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,434 : 565,821 = 565,821 : x
  2. Step 2: Convert to fraction form
    259,434/565,821 = 565,821/x
  3. Step 3: Cross multiply
    259,434x = 565,821 × 565,821
  4. Step 4: Simplify right side
    259,434x = 320,153,404,041
  5. Step 5: Solve for x
    x = 320,153,404,041/259,434
  6. Step 6: Final answer
    x = 1,234,045.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.