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Finding the Third Proportional to 291,247 and 636,374

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Solution

The third proportional to 291,247 and 636,374 is: 1,390,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,247 : 636,374 = 636,374 : x
  2. Step 2: Convert to fraction form
    291,247/636,374 = 636,374/x
  3. Step 3: Cross multiply
    291,247x = 636,374 × 636,374
  4. Step 4: Simplify right side
    291,247x = 404,971,867,876
  5. Step 5: Solve for x
    x = 404,971,867,876/291,247
  6. Step 6: Final answer
    x = 1,390,475.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.