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Finding the Third Proportional to 103,439 and 223,206.50

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Solution

The third proportional to 103,439 and 223,206.50 is: 481,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,439 : 223,206.50 = 223,206.50 : x
  2. Step 2: Convert to fraction form
    103,439/223,206.50 = 223,206.50/x
  3. Step 3: Cross multiply
    103,439x = 223,206.50 × 223,206.50
  4. Step 4: Simplify right side
    103,439x = 49,821,141,642.25
  5. Step 5: Solve for x
    x = 49,821,141,642.25/103,439
  6. Step 6: Final answer
    x = 481,647.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.