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Finding the Third Proportional to 433,972 and 657,078

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Solution

The third proportional to 433,972 and 657,078 is: 994,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,972 : 657,078 = 657,078 : x
  2. Step 2: Convert to fraction form
    433,972/657,078 = 657,078/x
  3. Step 3: Cross multiply
    433,972x = 657,078 × 657,078
  4. Step 4: Simplify right side
    433,972x = 431,751,498,084
  5. Step 5: Solve for x
    x = 431,751,498,084/433,972
  6. Step 6: Final answer
    x = 994,883.31

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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.