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Finding the Third Proportional to 390,069 and 582,529

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Solution

The third proportional to 390,069 and 582,529 is: 869,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,069 : 582,529 = 582,529 : x
  2. Step 2: Convert to fraction form
    390,069/582,529 = 582,529/x
  3. Step 3: Cross multiply
    390,069x = 582,529 × 582,529
  4. Step 4: Simplify right side
    390,069x = 339,340,035,841
  5. Step 5: Solve for x
    x = 339,340,035,841/390,069
  6. Step 6: Final answer
    x = 869,948.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.