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Finding the Third Proportional to 338,576 and 535,668

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Solution

The third proportional to 338,576 and 535,668 is: 847,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,576 : 535,668 = 535,668 : x
  2. Step 2: Convert to fraction form
    338,576/535,668 = 535,668/x
  3. Step 3: Cross multiply
    338,576x = 535,668 × 535,668
  4. Step 4: Simplify right side
    338,576x = 286,940,206,224
  5. Step 5: Solve for x
    x = 286,940,206,224/338,576
  6. Step 6: Final answer
    x = 847,491.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.