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Finding the Third Proportional to 431,431 and 940,729

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Solution

The third proportional to 431,431 and 940,729 is: 2,051,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,431 : 940,729 = 940,729 : x
  2. Step 2: Convert to fraction form
    431,431/940,729 = 940,729/x
  3. Step 3: Cross multiply
    431,431x = 940,729 × 940,729
  4. Step 4: Simplify right side
    431,431x = 884,971,051,441
  5. Step 5: Solve for x
    x = 884,971,051,441/431,431
  6. Step 6: Final answer
    x = 2,051,245.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.