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Finding the Third Proportional to 299,300 and 646,078

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Solution

The third proportional to 299,300 and 646,078 is: 1,394,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,300 : 646,078 = 646,078 : x
  2. Step 2: Convert to fraction form
    299,300/646,078 = 646,078/x
  3. Step 3: Cross multiply
    299,300x = 646,078 × 646,078
  4. Step 4: Simplify right side
    299,300x = 417,416,782,084
  5. Step 5: Solve for x
    x = 417,416,782,084/299,300
  6. Step 6: Final answer
    x = 1,394,643.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.