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Finding the Third Proportional to 208,032 and 448,768

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Solution

The third proportional to 208,032 and 448,768 is: 968,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032 : 448,768 = 448,768 : x
  2. Step 2: Convert to fraction form
    208,032/448,768 = 448,768/x
  3. Step 3: Cross multiply
    208,032x = 448,768 × 448,768
  4. Step 4: Simplify right side
    208,032x = 201,392,717,824
  5. Step 5: Solve for x
    x = 201,392,717,824/208,032
  6. Step 6: Final answer
    x = 968,085.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.