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Finding the Third Proportional to 389,072 and 583,608

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Solution

The third proportional to 389,072 and 583,608 is: 875,412

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,072 : 583,608 = 583,608 : x
  2. Step 2: Convert to fraction form
    389,072/583,608 = 583,608/x
  3. Step 3: Cross multiply
    389,072x = 583,608 × 583,608
  4. Step 4: Simplify right side
    389,072x = 340,598,297,664
  5. Step 5: Solve for x
    x = 340,598,297,664/389,072
  6. Step 6: Final answer
    x = 875,412

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.