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Finding the Third Proportional to 161,808 and 354,720

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Solution

The third proportional to 161,808 and 354,720 is: 777,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,808 : 354,720 = 354,720 : x
  2. Step 2: Convert to fraction form
    161,808/354,720 = 354,720/x
  3. Step 3: Cross multiply
    161,808x = 354,720 × 354,720
  4. Step 4: Simplify right side
    161,808x = 125,826,278,400
  5. Step 5: Solve for x
    x = 125,826,278,400/161,808
  6. Step 6: Final answer
    x = 777,627.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.