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Finding the Third Proportional to 321,370 and 613,580

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Solution

The third proportional to 321,370 and 613,580 is: 1,171,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,370 : 613,580 = 613,580 : x
  2. Step 2: Convert to fraction form
    321,370/613,580 = 613,580/x
  3. Step 3: Cross multiply
    321,370x = 613,580 × 613,580
  4. Step 4: Simplify right side
    321,370x = 376,480,416,400
  5. Step 5: Solve for x
    x = 376,480,416,400/321,370
  6. Step 6: Final answer
    x = 1,171,485.88

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.