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Finding the Third Proportional to 213,400.50 and 458,431.50

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Solution

The third proportional to 213,400.50 and 458,431.50 is: 984,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,400.50 : 458,431.50 = 458,431.50 : x
  2. Step 2: Convert to fraction form
    213,400.50/458,431.50 = 458,431.50/x
  3. Step 3: Cross multiply
    213,400.50x = 458,431.50 × 458,431.50
  4. Step 4: Simplify right side
    213,400.50x = 210,159,440,192.25
  5. Step 5: Solve for x
    x = 210,159,440,192.25/213,400.50
  6. Step 6: Final answer
    x = 984,812.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.