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Finding the Third Proportional to 213,400.50 and 446,403

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Solution

The third proportional to 213,400.50 and 446,403 is: 933,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,400.50 : 446,403 = 446,403 : x
  2. Step 2: Convert to fraction form
    213,400.50/446,403 = 446,403/x
  3. Step 3: Cross multiply
    213,400.50x = 446,403 × 446,403
  4. Step 4: Simplify right side
    213,400.50x = 199,275,638,409
  5. Step 5: Solve for x
    x = 199,275,638,409/213,400.50
  6. Step 6: Final answer
    x = 933,810.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.