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Finding the Third Proportional to 476,910 and 668,487

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Solution

The third proportional to 476,910 and 668,487 is: 937,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,910 : 668,487 = 668,487 : x
  2. Step 2: Convert to fraction form
    476,910/668,487 = 668,487/x
  3. Step 3: Cross multiply
    476,910x = 668,487 × 668,487
  4. Step 4: Simplify right side
    476,910x = 446,874,869,169
  5. Step 5: Solve for x
    x = 446,874,869,169/476,910
  6. Step 6: Final answer
    x = 937,021.39

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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.