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Finding the Third Proportional to 321,438 and 700,022

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Solution

The third proportional to 321,438 and 700,022 is: 1,524,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,438 : 700,022 = 700,022 : x
  2. Step 2: Convert to fraction form
    321,438/700,022 = 700,022/x
  3. Step 3: Cross multiply
    321,438x = 700,022 × 700,022
  4. Step 4: Simplify right side
    321,438x = 490,030,800,484
  5. Step 5: Solve for x
    x = 490,030,800,484/321,438
  6. Step 6: Final answer
    x = 1,524,495.55

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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.