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Finding the Third Proportional to 213,419.81 and 285,470.58

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Solution

The third proportional to 213,419.81 and 285,470.58 is: 381,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,419.81 : 285,470.58 = 285,470.58 : x
  2. Step 2: Convert to fraction form
    213,419.81/285,470.58 = 285,470.58/x
  3. Step 3: Cross multiply
    213,419.81x = 285,470.58 × 285,470.58
  4. Step 4: Simplify right side
    213,419.81x = 81,493,450,975.02
  5. Step 5: Solve for x
    x = 81,493,450,975.02/213,419.81
  6. Step 6: Final answer
    x = 381,845.76

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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.