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Finding the Third Proportional to 321,455 and 700,057

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Solution

The third proportional to 321,455 and 700,057 is: 1,524,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,455 : 700,057 = 700,057 : x
  2. Step 2: Convert to fraction form
    321,455/700,057 = 700,057/x
  3. Step 3: Cross multiply
    321,455x = 700,057 × 700,057
  4. Step 4: Simplify right side
    321,455x = 490,079,803,249
  5. Step 5: Solve for x
    x = 490,079,803,249/321,455
  6. Step 6: Final answer
    x = 1,524,567.37

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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.