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Finding the Third Proportional to 271,328 and 415,056

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Solution

The third proportional to 271,328 and 415,056 is: 634,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,328 : 415,056 = 415,056 : x
  2. Step 2: Convert to fraction form
    271,328/415,056 = 415,056/x
  3. Step 3: Cross multiply
    271,328x = 415,056 × 415,056
  4. Step 4: Simplify right side
    271,328x = 172,271,483,136
  5. Step 5: Solve for x
    x = 172,271,483,136/271,328
  6. Step 6: Final answer
    x = 634,919.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.