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Finding the Third Proportional to 399,240 and 600,480

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Solution

The third proportional to 399,240 and 600,480 is: 903,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,240 : 600,480 = 600,480 : x
  2. Step 2: Convert to fraction form
    399,240/600,480 = 600,480/x
  3. Step 3: Cross multiply
    399,240x = 600,480 × 600,480
  4. Step 4: Simplify right side
    399,240x = 360,576,230,400
  5. Step 5: Solve for x
    x = 360,576,230,400/399,240
  6. Step 6: Final answer
    x = 903,156.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.