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Finding the Third Proportional to 428,842 and 628,939

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Solution

The third proportional to 428,842 and 628,939 is: 922,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,842 : 628,939 = 628,939 : x
  2. Step 2: Convert to fraction form
    428,842/628,939 = 628,939/x
  3. Step 3: Cross multiply
    428,842x = 628,939 × 628,939
  4. Step 4: Simplify right side
    428,842x = 395,564,265,721
  5. Step 5: Solve for x
    x = 395,564,265,721/428,842
  6. Step 6: Final answer
    x = 922,400.94

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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.