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Finding the Third Proportional to 161,142.75 and 354,452.63

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Solution

The third proportional to 161,142.75 and 354,452.63 is: 779,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,142.75 : 354,452.63 = 354,452.63 : x
  2. Step 2: Convert to fraction form
    161,142.75/354,452.63 = 354,452.63/x
  3. Step 3: Cross multiply
    161,142.75x = 354,452.63 × 354,452.63
  4. Step 4: Simplify right side
    161,142.75x = 125,636,663,369.39
  5. Step 5: Solve for x
    x = 125,636,663,369.39/161,142.75
  6. Step 6: Final answer
    x = 779,660.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.