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Finding the Third Proportional to 327,120 and 492,320

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Solution

The third proportional to 327,120 and 492,320 is: 740,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,120 : 492,320 = 492,320 : x
  2. Step 2: Convert to fraction form
    327,120/492,320 = 492,320/x
  3. Step 3: Cross multiply
    327,120x = 492,320 × 492,320
  4. Step 4: Simplify right side
    327,120x = 242,378,982,400
  5. Step 5: Solve for x
    x = 242,378,982,400/327,120
  6. Step 6: Final answer
    x = 740,948.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.