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Finding the Third Proportional to 270,732 and 398,250

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Solution

The third proportional to 270,732 and 398,250 is: 585,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,732 : 398,250 = 398,250 : x
  2. Step 2: Convert to fraction form
    270,732/398,250 = 398,250/x
  3. Step 3: Cross multiply
    270,732x = 398,250 × 398,250
  4. Step 4: Simplify right side
    270,732x = 158,603,062,500
  5. Step 5: Solve for x
    x = 158,603,062,500/270,732
  6. Step 6: Final answer
    x = 585,830.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.