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Finding the Third Proportional to 208,128 and 447,816

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Solution

The third proportional to 208,128 and 447,816 is: 963,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,128 : 447,816 = 447,816 : x
  2. Step 2: Convert to fraction form
    208,128/447,816 = 447,816/x
  3. Step 3: Cross multiply
    208,128x = 447,816 × 447,816
  4. Step 4: Simplify right side
    208,128x = 200,539,169,856
  5. Step 5: Solve for x
    x = 200,539,169,856/208,128
  6. Step 6: Final answer
    x = 963,537.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.