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Finding the Third Proportional to 282,717 and 437,195

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Solution

The third proportional to 282,717 and 437,195 is: 676,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,717 : 437,195 = 437,195 : x
  2. Step 2: Convert to fraction form
    282,717/437,195 = 437,195/x
  3. Step 3: Cross multiply
    282,717x = 437,195 × 437,195
  4. Step 4: Simplify right side
    282,717x = 191,139,468,025
  5. Step 5: Solve for x
    x = 191,139,468,025/282,717
  6. Step 6: Final answer
    x = 676,080.56

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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.