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Finding the Third Proportional to 208,415.25 and 322,920

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Solution

The third proportional to 208,415.25 and 322,920 is: 500,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,415.25 : 322,920 = 322,920 : x
  2. Step 2: Convert to fraction form
    208,415.25/322,920 = 322,920/x
  3. Step 3: Cross multiply
    208,415.25x = 322,920 × 322,920
  4. Step 4: Simplify right side
    208,415.25x = 104,277,326,400
  5. Step 5: Solve for x
    x = 104,277,326,400/208,415.25
  6. Step 6: Final answer
    x = 500,334.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.