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Finding the Third Proportional to 205,418.53 and 448,641.28

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Solution

The third proportional to 205,418.53 and 448,641.28 is: 979,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,418.53 : 448,641.28 = 448,641.28 : x
  2. Step 2: Convert to fraction form
    205,418.53/448,641.28 = 448,641.28/x
  3. Step 3: Cross multiply
    205,418.53x = 448,641.28 × 448,641.28
  4. Step 4: Simplify right side
    205,418.53x = 201,278,999,241.64
  5. Step 5: Solve for x
    x = 201,278,999,241.64/205,418.53
  6. Step 6: Final answer
    x = 979,848.30

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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.