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Finding the Third Proportional to 200,912 and 428,480

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Solution

The third proportional to 200,912 and 428,480 is: 913,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,912 : 428,480 = 428,480 : x
  2. Step 2: Convert to fraction form
    200,912/428,480 = 428,480/x
  3. Step 3: Cross multiply
    200,912x = 428,480 × 428,480
  4. Step 4: Simplify right side
    200,912x = 183,595,110,400
  5. Step 5: Solve for x
    x = 183,595,110,400/200,912
  6. Step 6: Final answer
    x = 913,808.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.