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Finding the Third Proportional to 200,880 and 437,778

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Solution

The third proportional to 200,880 and 437,778 is: 954,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,880 : 437,778 = 437,778 : x
  2. Step 2: Convert to fraction form
    200,880/437,778 = 437,778/x
  3. Step 3: Cross multiply
    200,880x = 437,778 × 437,778
  4. Step 4: Simplify right side
    200,880x = 191,649,577,284
  5. Step 5: Solve for x
    x = 191,649,577,284/200,880
  6. Step 6: Final answer
    x = 954,050.07

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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.