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Finding the Third Proportional to 339,968 and 718,848

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Solution

The third proportional to 339,968 and 718,848 is: 1,519,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,968 : 718,848 = 718,848 : x
  2. Step 2: Convert to fraction form
    339,968/718,848 = 718,848/x
  3. Step 3: Cross multiply
    339,968x = 718,848 × 718,848
  4. Step 4: Simplify right side
    339,968x = 516,742,447,104
  5. Step 5: Solve for x
    x = 516,742,447,104/339,968
  6. Step 6: Final answer
    x = 1,519,973.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.