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Finding the Third Proportional to 311,154 and 678,630

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Solution

The third proportional to 311,154 and 678,630 is: 1,480,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,154 : 678,630 = 678,630 : x
  2. Step 2: Convert to fraction form
    311,154/678,630 = 678,630/x
  3. Step 3: Cross multiply
    311,154x = 678,630 × 678,630
  4. Step 4: Simplify right side
    311,154x = 460,538,676,900
  5. Step 5: Solve for x
    x = 460,538,676,900/311,154
  6. Step 6: Final answer
    x = 1,480,098.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.