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Finding the Third Proportional to 118,200 and 256,089

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Solution

The third proportional to 118,200 and 256,089 is: 554,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,200 : 256,089 = 256,089 : x
  2. Step 2: Convert to fraction form
    118,200/256,089 = 256,089/x
  3. Step 3: Cross multiply
    118,200x = 256,089 × 256,089
  4. Step 4: Simplify right side
    118,200x = 65,581,575,921
  5. Step 5: Solve for x
    x = 65,581,575,921/118,200
  6. Step 6: Final answer
    x = 554,835.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.