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Finding the Third Proportional to 402,966 and 628,955

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Solution

The third proportional to 402,966 and 628,955 is: 981,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,966 : 628,955 = 628,955 : x
  2. Step 2: Convert to fraction form
    402,966/628,955 = 628,955/x
  3. Step 3: Cross multiply
    402,966x = 628,955 × 628,955
  4. Step 4: Simplify right side
    402,966x = 395,584,392,025
  5. Step 5: Solve for x
    x = 395,584,392,025/402,966
  6. Step 6: Final answer
    x = 981,681.81

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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.