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Finding the Third Proportional to 290,469 and 480,022

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Solution

The third proportional to 290,469 and 480,022 is: 793,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,469 : 480,022 = 480,022 : x
  2. Step 2: Convert to fraction form
    290,469/480,022 = 480,022/x
  3. Step 3: Cross multiply
    290,469x = 480,022 × 480,022
  4. Step 4: Simplify right side
    290,469x = 230,421,120,484
  5. Step 5: Solve for x
    x = 230,421,120,484/290,469
  6. Step 6: Final answer
    x = 793,272.67

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.