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Finding the Third Proportional to 199,807 and 428,043

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Solution

The third proportional to 199,807 and 428,043 is: 916,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,807 : 428,043 = 428,043 : x
  2. Step 2: Convert to fraction form
    199,807/428,043 = 428,043/x
  3. Step 3: Cross multiply
    199,807x = 428,043 × 428,043
  4. Step 4: Simplify right side
    199,807x = 183,220,809,849
  5. Step 5: Solve for x
    x = 183,220,809,849/199,807
  6. Step 6: Final answer
    x = 916,988.94

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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.