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Finding the Third Proportional to 578,284 and 902,400

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Solution

The third proportional to 578,284 and 902,400 is: 1,408,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,284 : 902,400 = 902,400 : x
  2. Step 2: Convert to fraction form
    578,284/902,400 = 902,400/x
  3. Step 3: Cross multiply
    578,284x = 902,400 × 902,400
  4. Step 4: Simplify right side
    578,284x = 814,325,760,000
  5. Step 5: Solve for x
    x = 814,325,760,000/578,284
  6. Step 6: Final answer
    x = 1,408,176.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.