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Finding the Third Proportional to 299,172 and 640,968

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Solution

The third proportional to 299,172 and 640,968 is: 1,373,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,172 : 640,968 = 640,968 : x
  2. Step 2: Convert to fraction form
    299,172/640,968 = 640,968/x
  3. Step 3: Cross multiply
    299,172x = 640,968 × 640,968
  4. Step 4: Simplify right side
    299,172x = 410,839,977,024
  5. Step 5: Solve for x
    x = 410,839,977,024/299,172
  6. Step 6: Final answer
    x = 1,373,256.78

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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.