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Finding the Third Proportional to 321,670 and 702,956

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Solution

The third proportional to 321,670 and 702,956 is: 1,536,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,670 : 702,956 = 702,956 : x
  2. Step 2: Convert to fraction form
    321,670/702,956 = 702,956/x
  3. Step 3: Cross multiply
    321,670x = 702,956 × 702,956
  4. Step 4: Simplify right side
    321,670x = 494,147,137,936
  5. Step 5: Solve for x
    x = 494,147,137,936/321,670
  6. Step 6: Final answer
    x = 1,536,192.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.