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Finding the Third Proportional to 446,469 and 638,202

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Solution

The third proportional to 446,469 and 638,202 is: 912,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,469 : 638,202 = 638,202 : x
  2. Step 2: Convert to fraction form
    446,469/638,202 = 638,202/x
  3. Step 3: Cross multiply
    446,469x = 638,202 × 638,202
  4. Step 4: Simplify right side
    446,469x = 407,301,792,804
  5. Step 5: Solve for x
    x = 407,301,792,804/446,469
  6. Step 6: Final answer
    x = 912,273.40

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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.