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Finding the Third Proportional to 199,398 and 428,028

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Solution

The third proportional to 199,398 and 428,028 is: 918,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,398 : 428,028 = 428,028 : x
  2. Step 2: Convert to fraction form
    199,398/428,028 = 428,028/x
  3. Step 3: Cross multiply
    199,398x = 428,028 × 428,028
  4. Step 4: Simplify right side
    199,398x = 183,207,968,784
  5. Step 5: Solve for x
    x = 183,207,968,784/199,398
  6. Step 6: Final answer
    x = 918,805.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.