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Finding the Third Proportional to 446,391 and 638,085

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Solution

The third proportional to 446,391 and 638,085 is: 912,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,391 : 638,085 = 638,085 : x
  2. Step 2: Convert to fraction form
    446,391/638,085 = 638,085/x
  3. Step 3: Cross multiply
    446,391x = 638,085 × 638,085
  4. Step 4: Simplify right side
    446,391x = 407,152,467,225
  5. Step 5: Solve for x
    x = 407,152,467,225/446,391
  6. Step 6: Final answer
    x = 912,098.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.