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Finding the Third Proportional to 428,861 and 628,963

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Solution

The third proportional to 428,861 and 628,963 is: 922,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,861 : 628,963 = 628,963 : x
  2. Step 2: Convert to fraction form
    428,861/628,963 = 628,963/x
  3. Step 3: Cross multiply
    428,861x = 628,963 × 628,963
  4. Step 4: Simplify right side
    428,861x = 395,594,455,369
  5. Step 5: Solve for x
    x = 395,594,455,369/428,861
  6. Step 6: Final answer
    x = 922,430.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.