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Finding the Third Proportional to 285,519.94 and 401,719.50

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Solution

The third proportional to 285,519.94 and 401,719.50 is: 565,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,519.94 : 401,719.50 = 401,719.50 : x
  2. Step 2: Convert to fraction form
    285,519.94/401,719.50 = 401,719.50/x
  3. Step 3: Cross multiply
    285,519.94x = 401,719.50 × 401,719.50
  4. Step 4: Simplify right side
    285,519.94x = 161,378,556,680.25
  5. Step 5: Solve for x
    x = 161,378,556,680.25/285,519.94
  6. Step 6: Final answer
    x = 565,209.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.