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Finding the Third Proportional to 73,989 and 161,964

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Solution

The third proportional to 73,989 and 161,964 is: 354,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,989 : 161,964 = 161,964 : x
  2. Step 2: Convert to fraction form
    73,989/161,964 = 161,964/x
  3. Step 3: Cross multiply
    73,989x = 161,964 × 161,964
  4. Step 4: Simplify right side
    73,989x = 26,232,337,296
  5. Step 5: Solve for x
    x = 26,232,337,296/73,989
  6. Step 6: Final answer
    x = 354,543.75

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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.