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Finding the Third Proportional to 299,120 and 640,280

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Solution

The third proportional to 299,120 and 640,280 is: 1,370,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,120 : 640,280 = 640,280 : x
  2. Step 2: Convert to fraction form
    299,120/640,280 = 640,280/x
  3. Step 3: Cross multiply
    299,120x = 640,280 × 640,280
  4. Step 4: Simplify right side
    299,120x = 409,958,478,400
  5. Step 5: Solve for x
    x = 409,958,478,400/299,120
  6. Step 6: Final answer
    x = 1,370,548.54

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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.