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Finding the Third Proportional to 425,200 and 902,240

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Solution

The third proportional to 425,200 and 902,240 is: 1,914,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,200 : 902,240 = 902,240 : x
  2. Step 2: Convert to fraction form
    425,200/902,240 = 902,240/x
  3. Step 3: Cross multiply
    425,200x = 902,240 × 902,240
  4. Step 4: Simplify right side
    425,200x = 814,037,017,600
  5. Step 5: Solve for x
    x = 814,037,017,600/425,200
  6. Step 6: Final answer
    x = 1,914,480.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.