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Finding the Third Proportional to 205,572 and 448,398

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Solution

The third proportional to 205,572 and 448,398 is: 978,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,572 : 448,398 = 448,398 : x
  2. Step 2: Convert to fraction form
    205,572/448,398 = 448,398/x
  3. Step 3: Cross multiply
    205,572x = 448,398 × 448,398
  4. Step 4: Simplify right side
    205,572x = 201,060,766,404
  5. Step 5: Solve for x
    x = 201,060,766,404/205,572
  6. Step 6: Final answer
    x = 978,055.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.