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Finding the Third Proportional to 200,557 and 440,480

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Solution

The third proportional to 200,557 and 440,480 is: 967,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,557 : 440,480 = 440,480 : x
  2. Step 2: Convert to fraction form
    200,557/440,480 = 440,480/x
  3. Step 3: Cross multiply
    200,557x = 440,480 × 440,480
  4. Step 4: Simplify right side
    200,557x = 194,022,630,400
  5. Step 5: Solve for x
    x = 194,022,630,400/200,557
  6. Step 6: Final answer
    x = 967,418.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.