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Finding the Third Proportional to 398,656 and 599,136

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Solution

The third proportional to 398,656 and 599,136 is: 900,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,656 : 599,136 = 599,136 : x
  2. Step 2: Convert to fraction form
    398,656/599,136 = 599,136/x
  3. Step 3: Cross multiply
    398,656x = 599,136 × 599,136
  4. Step 4: Simplify right side
    398,656x = 358,963,946,496
  5. Step 5: Solve for x
    x = 358,963,946,496/398,656
  6. Step 6: Final answer
    x = 900,435.33

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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.