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Finding the Third Proportional to 58,918 and 87,234

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Solution

The third proportional to 58,918 and 87,234 is: 129,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,918 : 87,234 = 87,234 : x
  2. Step 2: Convert to fraction form
    58,918/87,234 = 87,234/x
  3. Step 3: Cross multiply
    58,918x = 87,234 × 87,234
  4. Step 4: Simplify right side
    58,918x = 7,609,770,756
  5. Step 5: Solve for x
    x = 7,609,770,756/58,918
  6. Step 6: Final answer
    x = 129,158.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.