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Finding the Third Proportional to 402,968 and 628,958

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Solution

The third proportional to 402,968 and 628,958 is: 981,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,968 : 628,958 = 628,958 : x
  2. Step 2: Convert to fraction form
    402,968/628,958 = 628,958/x
  3. Step 3: Cross multiply
    402,968x = 628,958 × 628,958
  4. Step 4: Simplify right side
    402,968x = 395,588,165,764
  5. Step 5: Solve for x
    x = 395,588,165,764/402,968
  6. Step 6: Final answer
    x = 981,686.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.