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Finding the Third Proportional to 102,240 and 208,620

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Solution

The third proportional to 102,240 and 208,620 is: 425,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,240 : 208,620 = 208,620 : x
  2. Step 2: Convert to fraction form
    102,240/208,620 = 208,620/x
  3. Step 3: Cross multiply
    102,240x = 208,620 × 208,620
  4. Step 4: Simplify right side
    102,240x = 43,522,304,400
  5. Step 5: Solve for x
    x = 43,522,304,400/102,240
  6. Step 6: Final answer
    x = 425,687.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.