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Finding the Third Proportional to 629,978 and 972,831

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Solution

The third proportional to 629,978 and 972,831 is: 1,502,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,978 : 972,831 = 972,831 : x
  2. Step 2: Convert to fraction form
    629,978/972,831 = 972,831/x
  3. Step 3: Cross multiply
    629,978x = 972,831 × 972,831
  4. Step 4: Simplify right side
    629,978x = 946,400,154,561
  5. Step 5: Solve for x
    x = 946,400,154,561/629,978
  6. Step 6: Final answer
    x = 1,502,274.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.