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Finding the Third Proportional to 311,836 and 660,479

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Solution

The third proportional to 311,836 and 660,479 is: 1,398,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,836 : 660,479 = 660,479 : x
  2. Step 2: Convert to fraction form
    311,836/660,479 = 660,479/x
  3. Step 3: Cross multiply
    311,836x = 660,479 × 660,479
  4. Step 4: Simplify right side
    311,836x = 436,232,509,441
  5. Step 5: Solve for x
    x = 436,232,509,441/311,836
  6. Step 6: Final answer
    x = 1,398,916.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.