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Finding the Third Proportional to 186,732 and 289,620

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Solution

The third proportional to 186,732 and 289,620 is: 449,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,732 : 289,620 = 289,620 : x
  2. Step 2: Convert to fraction form
    186,732/289,620 = 289,620/x
  3. Step 3: Cross multiply
    186,732x = 289,620 × 289,620
  4. Step 4: Simplify right side
    186,732x = 83,879,744,400
  5. Step 5: Solve for x
    x = 83,879,744,400/186,732
  6. Step 6: Final answer
    x = 449,198.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.