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Finding the Third Proportional to 170,616 and 398,580

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Solution

The third proportional to 170,616 and 398,580 is: 931,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,616 : 398,580 = 398,580 : x
  2. Step 2: Convert to fraction form
    170,616/398,580 = 398,580/x
  3. Step 3: Cross multiply
    170,616x = 398,580 × 398,580
  4. Step 4: Simplify right side
    170,616x = 158,866,016,400
  5. Step 5: Solve for x
    x = 158,866,016,400/170,616
  6. Step 6: Final answer
    x = 931,131.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.