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Finding the Third Proportional to 57,213 and 87,522

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Solution

The third proportional to 57,213 and 87,522 is: 133,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213 : 87,522 = 87,522 : x
  2. Step 2: Convert to fraction form
    57,213/87,522 = 87,522/x
  3. Step 3: Cross multiply
    57,213x = 87,522 × 87,522
  4. Step 4: Simplify right side
    57,213x = 7,660,100,484
  5. Step 5: Solve for x
    x = 7,660,100,484/57,213
  6. Step 6: Final answer
    x = 133,887.41

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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.