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Finding the Third Proportional to 161,382 and 354,612.75

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Solution

The third proportional to 161,382 and 354,612.75 is: 779,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,382 : 354,612.75 = 354,612.75 : x
  2. Step 2: Convert to fraction form
    161,382/354,612.75 = 354,612.75/x
  3. Step 3: Cross multiply
    161,382x = 354,612.75 × 354,612.75
  4. Step 4: Simplify right side
    161,382x = 125,750,202,462.56
  5. Step 5: Solve for x
    x = 125,750,202,462.56/161,382
  6. Step 6: Final answer
    x = 779,208.35

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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.