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Finding the Third Proportional to 321,433 and 700,011

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Solution

The third proportional to 321,433 and 700,011 is: 1,524,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,433 : 700,011 = 700,011 : x
  2. Step 2: Convert to fraction form
    321,433/700,011 = 700,011/x
  3. Step 3: Cross multiply
    321,433x = 700,011 × 700,011
  4. Step 4: Simplify right side
    321,433x = 490,015,400,121
  5. Step 5: Solve for x
    x = 490,015,400,121/321,433
  6. Step 6: Final answer
    x = 1,524,471.35

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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.