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Finding the Third Proportional to 161,577 and 345,147.75

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Solution

The third proportional to 161,577 and 345,147.75 is: 737,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,577 : 345,147.75 = 345,147.75 : x
  2. Step 2: Convert to fraction form
    161,577/345,147.75 = 345,147.75/x
  3. Step 3: Cross multiply
    161,577x = 345,147.75 × 345,147.75
  4. Step 4: Simplify right side
    161,577x = 119,126,969,330.06
  5. Step 5: Solve for x
    x = 119,126,969,330.06/161,577
  6. Step 6: Final answer
    x = 737,276.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.