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Finding the Third Proportional to 186,840 and 382,410

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Solution

The third proportional to 186,840 and 382,410 is: 782,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,840 : 382,410 = 382,410 : x
  2. Step 2: Convert to fraction form
    186,840/382,410 = 382,410/x
  3. Step 3: Cross multiply
    186,840x = 382,410 × 382,410
  4. Step 4: Simplify right side
    186,840x = 146,237,408,100
  5. Step 5: Solve for x
    x = 146,237,408,100/186,840
  6. Step 6: Final answer
    x = 782,687.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.