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Finding the Third Proportional to 102,418 and 211,940

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Solution

The third proportional to 102,418 and 211,940 is: 438,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,418 : 211,940 = 211,940 : x
  2. Step 2: Convert to fraction form
    102,418/211,940 = 211,940/x
  3. Step 3: Cross multiply
    102,418x = 211,940 × 211,940
  4. Step 4: Simplify right side
    102,418x = 44,918,563,600
  5. Step 5: Solve for x
    x = 44,918,563,600/102,418
  6. Step 6: Final answer
    x = 438,580.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.