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Finding the Third Proportional to 440,326 and 520,030

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Solution

The third proportional to 440,326 and 520,030 is: 614,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,326 : 520,030 = 520,030 : x
  2. Step 2: Convert to fraction form
    440,326/520,030 = 520,030/x
  3. Step 3: Cross multiply
    440,326x = 520,030 × 520,030
  4. Step 4: Simplify right side
    440,326x = 270,431,200,900
  5. Step 5: Solve for x
    x = 270,431,200,900/440,326
  6. Step 6: Final answer
    x = 614,161.33

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.