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Finding the Third Proportional to 395,082 and 627,615

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Solution

The third proportional to 395,082 and 627,615 is: 997,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,082 : 627,615 = 627,615 : x
  2. Step 2: Convert to fraction form
    395,082/627,615 = 627,615/x
  3. Step 3: Cross multiply
    395,082x = 627,615 × 627,615
  4. Step 4: Simplify right side
    395,082x = 393,900,588,225
  5. Step 5: Solve for x
    x = 393,900,588,225/395,082
  6. Step 6: Final answer
    x = 997,009.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.