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Finding the Third Proportional to 205,440 and 325,980

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Solution

The third proportional to 205,440 and 325,980 is: 517,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,440 : 325,980 = 325,980 : x
  2. Step 2: Convert to fraction form
    205,440/325,980 = 325,980/x
  3. Step 3: Cross multiply
    205,440x = 325,980 × 325,980
  4. Step 4: Simplify right side
    205,440x = 106,262,960,400
  5. Step 5: Solve for x
    x = 106,262,960,400/205,440
  6. Step 6: Final answer
    x = 517,245.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.