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Finding the Third Proportional to 442,634 and 669,222

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Solution

The third proportional to 442,634 and 669,222 is: 1,011,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,634 : 669,222 = 669,222 : x
  2. Step 2: Convert to fraction form
    442,634/669,222 = 669,222/x
  3. Step 3: Cross multiply
    442,634x = 669,222 × 669,222
  4. Step 4: Simplify right side
    442,634x = 447,858,085,284
  5. Step 5: Solve for x
    x = 447,858,085,284/442,634
  6. Step 6: Final answer
    x = 1,011,802.27

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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.