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Finding the Third Proportional to 208,914.50 and 318,267.75

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Solution

The third proportional to 208,914.50 and 318,267.75 is: 484,860.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,914.50 : 318,267.75 = 318,267.75 : x
  2. Step 2: Convert to fraction form
    208,914.50/318,267.75 = 318,267.75/x
  3. Step 3: Cross multiply
    208,914.50x = 318,267.75 × 318,267.75
  4. Step 4: Simplify right side
    208,914.50x = 101,294,360,690.06
  5. Step 5: Solve for x
    x = 101,294,360,690.06/208,914.50
  6. Step 6: Final answer
    x = 484,860.36

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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.