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Finding the Third Proportional to 200,554 and 428,756

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Solution

The third proportional to 200,554 and 428,756 is: 916,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,554 : 428,756 = 428,756 : x
  2. Step 2: Convert to fraction form
    200,554/428,756 = 428,756/x
  3. Step 3: Cross multiply
    200,554x = 428,756 × 428,756
  4. Step 4: Simplify right side
    200,554x = 183,831,707,536
  5. Step 5: Solve for x
    x = 183,831,707,536/200,554
  6. Step 6: Final answer
    x = 916,619.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.