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Finding the Third Proportional to 311,106 and 469,515

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Solution

The third proportional to 311,106 and 469,515 is: 708,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,106 : 469,515 = 469,515 : x
  2. Step 2: Convert to fraction form
    311,106/469,515 = 469,515/x
  3. Step 3: Cross multiply
    311,106x = 469,515 × 469,515
  4. Step 4: Simplify right side
    311,106x = 220,444,335,225
  5. Step 5: Solve for x
    x = 220,444,335,225/311,106
  6. Step 6: Final answer
    x = 708,582.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.