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Finding the Third Proportional to 213,423.75 and 285,475.50

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Solution

The third proportional to 213,423.75 and 285,475.50 is: 381,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,423.75 : 285,475.50 = 285,475.50 : x
  2. Step 2: Convert to fraction form
    213,423.75/285,475.50 = 285,475.50/x
  3. Step 3: Cross multiply
    213,423.75x = 285,475.50 × 285,475.50
  4. Step 4: Simplify right side
    213,423.75x = 81,496,261,100.25
  5. Step 5: Solve for x
    x = 81,496,261,100.25/213,423.75
  6. Step 6: Final answer
    x = 381,851.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.