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Finding the Third Proportional to 161,853.19 and 353,215.69

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Solution

The third proportional to 161,853.19 and 353,215.69 is: 770,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,853.19 : 353,215.69 = 353,215.69 : x
  2. Step 2: Convert to fraction form
    161,853.19/353,215.69 = 353,215.69/x
  3. Step 3: Cross multiply
    161,853.19x = 353,215.69 × 353,215.69
  4. Step 4: Simplify right side
    161,853.19x = 124,761,321,896.10
  5. Step 5: Solve for x
    x = 124,761,321,896.10/161,853.19
  6. Step 6: Final answer
    x = 770,830.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.