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Finding the Third Proportional to 28,472 and 43,397

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Solution

The third proportional to 28,472 and 43,397 is: 66,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,472 : 43,397 = 43,397 : x
  2. Step 2: Convert to fraction form
    28,472/43,397 = 43,397/x
  3. Step 3: Cross multiply
    28,472x = 43,397 × 43,397
  4. Step 4: Simplify right side
    28,472x = 1,883,299,609
  5. Step 5: Solve for x
    x = 1,883,299,609/28,472
  6. Step 6: Final answer
    x = 66,145.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.