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Finding the Third Proportional to 208,826 and 318,135

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Solution

The third proportional to 208,826 and 318,135 is: 484,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,826 : 318,135 = 318,135 : x
  2. Step 2: Convert to fraction form
    208,826/318,135 = 318,135/x
  3. Step 3: Cross multiply
    208,826x = 318,135 × 318,135
  4. Step 4: Simplify right side
    208,826x = 101,209,878,225
  5. Step 5: Solve for x
    x = 101,209,878,225/208,826
  6. Step 6: Final answer
    x = 484,661.29

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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.