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Finding the Third Proportional to 155,643.19 and 218,581.03

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Solution

The third proportional to 155,643.19 and 218,581.03 is: 306,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,643.19 : 218,581.03 = 218,581.03 : x
  2. Step 2: Convert to fraction form
    155,643.19/218,581.03 = 218,581.03/x
  3. Step 3: Cross multiply
    155,643.19x = 218,581.03 × 218,581.03
  4. Step 4: Simplify right side
    155,643.19x = 47,777,667,222.31
  5. Step 5: Solve for x
    x = 47,777,667,222.31/155,643.19
  6. Step 6: Final answer
    x = 306,969.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.