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Finding the Third Proportional to 198,004 and 428,840

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Solution

The third proportional to 198,004 and 428,840 is: 928,788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,004 : 428,840 = 428,840 : x
  2. Step 2: Convert to fraction form
    198,004/428,840 = 428,840/x
  3. Step 3: Cross multiply
    198,004x = 428,840 × 428,840
  4. Step 4: Simplify right side
    198,004x = 183,903,745,600
  5. Step 5: Solve for x
    x = 183,903,745,600/198,004
  6. Step 6: Final answer
    x = 928,788.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.