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Finding the Third Proportional to 172,543.50 and 353,453.63

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Solution

The third proportional to 172,543.50 and 353,453.63 is: 724,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,543.50 : 353,453.63 = 353,453.63 : x
  2. Step 2: Convert to fraction form
    172,543.50/353,453.63 = 353,453.63/x
  3. Step 3: Cross multiply
    172,543.50x = 353,453.63 × 353,453.63
  4. Step 4: Simplify right side
    172,543.50x = 124,929,465,025.64
  5. Step 5: Solve for x
    x = 124,929,465,025.64/172,543.50
  6. Step 6: Final answer
    x = 724,046.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.