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Finding the Third Proportional to 477,426 and 669,267

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Solution

The third proportional to 477,426 and 669,267 is: 938,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,426 : 669,267 = 669,267 : x
  2. Step 2: Convert to fraction form
    477,426/669,267 = 669,267/x
  3. Step 3: Cross multiply
    477,426x = 669,267 × 669,267
  4. Step 4: Simplify right side
    477,426x = 447,918,317,289
  5. Step 5: Solve for x
    x = 447,918,317,289/477,426
  6. Step 6: Final answer
    x = 938,194.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.