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Finding the Third Proportional to 390,826 and 587,274

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Solution

The third proportional to 390,826 and 587,274 is: 882,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,826 : 587,274 = 587,274 : x
  2. Step 2: Convert to fraction form
    390,826/587,274 = 587,274/x
  3. Step 3: Cross multiply
    390,826x = 587,274 × 587,274
  4. Step 4: Simplify right side
    390,826x = 344,890,751,076
  5. Step 5: Solve for x
    x = 344,890,751,076/390,826
  6. Step 6: Final answer
    x = 882,466.24

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