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Finding the Third Proportional to 428,715 and 958,923

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Solution

The third proportional to 428,715 and 958,923 is: 2,144,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,715 : 958,923 = 958,923 : x
  2. Step 2: Convert to fraction form
    428,715/958,923 = 958,923/x
  3. Step 3: Cross multiply
    428,715x = 958,923 × 958,923
  4. Step 4: Simplify right side
    428,715x = 919,533,319,929
  5. Step 5: Solve for x
    x = 919,533,319,929/428,715
  6. Step 6: Final answer
    x = 2,144,859.22

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.