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Finding the Third Proportional to 433,992 and 657,108

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Solution

The third proportional to 433,992 and 657,108 is: 994,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,992 : 657,108 = 657,108 : x
  2. Step 2: Convert to fraction form
    433,992/657,108 = 657,108/x
  3. Step 3: Cross multiply
    433,992x = 657,108 × 657,108
  4. Step 4: Simplify right side
    433,992x = 431,790,923,664
  5. Step 5: Solve for x
    x = 431,790,923,664/433,992
  6. Step 6: Final answer
    x = 994,928.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.