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Finding the Third Proportional to 262,865.81 and 393,853.22

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Solution

The third proportional to 262,865.81 and 393,853.22 is: 590,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,865.81 : 393,853.22 = 393,853.22 : x
  2. Step 2: Convert to fraction form
    262,865.81/393,853.22 = 393,853.22/x
  3. Step 3: Cross multiply
    262,865.81x = 393,853.22 × 393,853.22
  4. Step 4: Simplify right side
    262,865.81x = 155,120,357,919.74
  5. Step 5: Solve for x
    x = 155,120,357,919.74/262,865.81
  6. Step 6: Final answer
    x = 590,112.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.