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Finding the Third Proportional to 102,340 and 208,842

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Solution

The third proportional to 102,340 and 208,842 is: 426,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,340 : 208,842 = 208,842 : x
  2. Step 2: Convert to fraction form
    102,340/208,842 = 208,842/x
  3. Step 3: Cross multiply
    102,340x = 208,842 × 208,842
  4. Step 4: Simplify right side
    102,340x = 43,614,980,964
  5. Step 5: Solve for x
    x = 43,614,980,964/102,340
  6. Step 6: Final answer
    x = 426,177.26

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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.