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Finding the Third Proportional to 213,670.50 and 455,939.25

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Solution

The third proportional to 213,670.50 and 455,939.25 is: 972,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,670.50 : 455,939.25 = 455,939.25 : x
  2. Step 2: Convert to fraction form
    213,670.50/455,939.25 = 455,939.25/x
  3. Step 3: Cross multiply
    213,670.50x = 455,939.25 × 455,939.25
  4. Step 4: Simplify right side
    213,670.50x = 207,880,599,690.56
  5. Step 5: Solve for x
    x = 207,880,599,690.56/213,670.50
  6. Step 6: Final answer
    x = 972,902.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.