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Finding the Third Proportional to 213,255 and 320,422.50

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Solution

The third proportional to 213,255 and 320,422.50 is: 481,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,255 : 320,422.50 = 320,422.50 : x
  2. Step 2: Convert to fraction form
    213,255/320,422.50 = 320,422.50/x
  3. Step 3: Cross multiply
    213,255x = 320,422.50 × 320,422.50
  4. Step 4: Simplify right side
    213,255x = 102,670,578,506.25
  5. Step 5: Solve for x
    x = 102,670,578,506.25/213,255
  6. Step 6: Final answer
    x = 481,445.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.