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Finding the Third Proportional to 395,117 and 627,668

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Solution

The third proportional to 395,117 and 627,668 is: 997,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,117 : 627,668 = 627,668 : x
  2. Step 2: Convert to fraction form
    395,117/627,668 = 627,668/x
  3. Step 3: Cross multiply
    395,117x = 627,668 × 627,668
  4. Step 4: Simplify right side
    395,117x = 393,967,118,224
  5. Step 5: Solve for x
    x = 393,967,118,224/395,117
  6. Step 6: Final answer
    x = 997,089.77

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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.