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Finding the Third Proportional to 208,920 and 318,276

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Solution

The third proportional to 208,920 and 318,276 is: 484,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,920 : 318,276 = 318,276 : x
  2. Step 2: Convert to fraction form
    208,920/318,276 = 318,276/x
  3. Step 3: Cross multiply
    208,920x = 318,276 × 318,276
  4. Step 4: Simplify right side
    208,920x = 101,299,612,176
  5. Step 5: Solve for x
    x = 101,299,612,176/208,920
  6. Step 6: Final answer
    x = 484,872.74

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Why These Related Problems?

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