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Finding the Third Proportional to 578,288 and 902,406

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Solution

The third proportional to 578,288 and 902,406 is: 1,408,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,288 : 902,406 = 902,406 : x
  2. Step 2: Convert to fraction form
    578,288/902,406 = 902,406/x
  3. Step 3: Cross multiply
    578,288x = 902,406 × 902,406
  4. Step 4: Simplify right side
    578,288x = 814,336,588,836
  5. Step 5: Solve for x
    x = 814,336,588,836/578,288
  6. Step 6: Final answer
    x = 1,408,185.18

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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.