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Finding the Third Proportional to 128,071 and 205,775

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Solution

The third proportional to 128,071 and 205,775 is: 330,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,071 : 205,775 = 205,775 : x
  2. Step 2: Convert to fraction form
    128,071/205,775 = 205,775/x
  3. Step 3: Cross multiply
    128,071x = 205,775 × 205,775
  4. Step 4: Simplify right side
    128,071x = 42,343,350,625
  5. Step 5: Solve for x
    x = 42,343,350,625/128,071
  6. Step 6: Final answer
    x = 330,624.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.