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Finding the Third Proportional to 269,616 and 415,668

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Solution

The third proportional to 269,616 and 415,668 is: 640,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,616 : 415,668 = 415,668 : x
  2. Step 2: Convert to fraction form
    269,616/415,668 = 415,668/x
  3. Step 3: Cross multiply
    269,616x = 415,668 × 415,668
  4. Step 4: Simplify right side
    269,616x = 172,779,886,224
  5. Step 5: Solve for x
    x = 172,779,886,224/269,616
  6. Step 6: Final answer
    x = 640,836.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.