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Finding the Third Proportional to 204,768 and 311,328

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Solution

The third proportional to 204,768 and 311,328 is: 473,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,768 : 311,328 = 311,328 : x
  2. Step 2: Convert to fraction form
    204,768/311,328 = 311,328/x
  3. Step 3: Cross multiply
    204,768x = 311,328 × 311,328
  4. Step 4: Simplify right side
    204,768x = 96,925,123,584
  5. Step 5: Solve for x
    x = 96,925,123,584/204,768
  6. Step 6: Final answer
    x = 473,341.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.