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Finding the Third Proportional to 213,369.75 and 320,621.63

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Solution

The third proportional to 213,369.75 and 320,621.63 is: 481,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,369.75 : 320,621.63 = 320,621.63 : x
  2. Step 2: Convert to fraction form
    213,369.75/320,621.63 = 320,621.63/x
  3. Step 3: Cross multiply
    213,369.75x = 320,621.63 × 320,621.63
  4. Step 4: Simplify right side
    213,369.75x = 102,798,226,417.64
  5. Step 5: Solve for x
    x = 102,798,226,417.64/213,369.75
  6. Step 6: Final answer
    x = 481,784.44

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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.