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Finding the Third Proportional to 74,709 and 161,865

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Solution

The third proportional to 74,709 and 161,865 is: 350,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,709 : 161,865 = 161,865 : x
  2. Step 2: Convert to fraction form
    74,709/161,865 = 161,865/x
  3. Step 3: Cross multiply
    74,709x = 161,865 × 161,865
  4. Step 4: Simplify right side
    74,709x = 26,200,278,225
  5. Step 5: Solve for x
    x = 26,200,278,225/74,709
  6. Step 6: Final answer
    x = 350,697.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.