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Finding the Third Proportional to 395,120 and 627,670

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Solution

The third proportional to 395,120 and 627,670 is: 997,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,120 : 627,670 = 627,670 : x
  2. Step 2: Convert to fraction form
    395,120/627,670 = 627,670/x
  3. Step 3: Cross multiply
    395,120x = 627,670 × 627,670
  4. Step 4: Simplify right side
    395,120x = 393,969,628,900
  5. Step 5: Solve for x
    x = 393,969,628,900/395,120
  6. Step 6: Final answer
    x = 997,088.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.