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Finding the Third Proportional to 216,171.28 and 329,485.22

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Solution

The third proportional to 216,171.28 and 329,485.22 is: 502,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,171.28 : 329,485.22 = 329,485.22 : x
  2. Step 2: Convert to fraction form
    216,171.28/329,485.22 = 329,485.22/x
  3. Step 3: Cross multiply
    216,171.28x = 329,485.22 × 329,485.22
  4. Step 4: Simplify right side
    216,171.28x = 108,560,509,374.74
  5. Step 5: Solve for x
    x = 108,560,509,374.74/216,171.28
  6. Step 6: Final answer
    x = 502,196.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.