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Finding the Third Proportional to 286,242 and 376,515

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Solution

The third proportional to 286,242 and 376,515 is: 495,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,242 : 376,515 = 376,515 : x
  2. Step 2: Convert to fraction form
    286,242/376,515 = 376,515/x
  3. Step 3: Cross multiply
    286,242x = 376,515 × 376,515
  4. Step 4: Simplify right side
    286,242x = 141,763,545,225
  5. Step 5: Solve for x
    x = 141,763,545,225/286,242
  6. Step 6: Final answer
    x = 495,257.67

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.