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Finding the Third Proportional to 442,630 and 669,215

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Solution

The third proportional to 442,630 and 669,215 is: 1,011,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,630 : 669,215 = 669,215 : x
  2. Step 2: Convert to fraction form
    442,630/669,215 = 669,215/x
  3. Step 3: Cross multiply
    442,630x = 669,215 × 669,215
  4. Step 4: Simplify right side
    442,630x = 447,848,716,225
  5. Step 5: Solve for x
    x = 447,848,716,225/442,630
  6. Step 6: Final answer
    x = 1,011,790.25

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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.