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Finding the Third Proportional to 205,248 and 448,128

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Solution

The third proportional to 205,248 and 448,128 is: 978,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,248 : 448,128 = 448,128 : x
  2. Step 2: Convert to fraction form
    205,248/448,128 = 448,128/x
  3. Step 3: Cross multiply
    205,248x = 448,128 × 448,128
  4. Step 4: Simplify right side
    205,248x = 200,818,704,384
  5. Step 5: Solve for x
    x = 200,818,704,384/205,248
  6. Step 6: Final answer
    x = 978,419.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.