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Finding the Third Proportional to 281,559 and 436,332

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Solution

The third proportional to 281,559 and 436,332 is: 676,183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,559 : 436,332 = 436,332 : x
  2. Step 2: Convert to fraction form
    281,559/436,332 = 436,332/x
  3. Step 3: Cross multiply
    281,559x = 436,332 × 436,332
  4. Step 4: Simplify right side
    281,559x = 190,385,614,224
  5. Step 5: Solve for x
    x = 190,385,614,224/281,559
  6. Step 6: Final answer
    x = 676,183.73

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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.