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Finding the Third Proportional to 321,526 and 687,338

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Solution

The third proportional to 321,526 and 687,338 is: 1,469,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,526 : 687,338 = 687,338 : x
  2. Step 2: Convert to fraction form
    321,526/687,338 = 687,338/x
  3. Step 3: Cross multiply
    321,526x = 687,338 × 687,338
  4. Step 4: Simplify right side
    321,526x = 472,433,526,244
  5. Step 5: Solve for x
    x = 472,433,526,244/321,526
  6. Step 6: Final answer
    x = 1,469,347.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.