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Finding the Third Proportional to 156,138 and 335,964

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Solution

The third proportional to 156,138 and 335,964 is: 722,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,138 : 335,964 = 335,964 : x
  2. Step 2: Convert to fraction form
    156,138/335,964 = 335,964/x
  3. Step 3: Cross multiply
    156,138x = 335,964 × 335,964
  4. Step 4: Simplify right side
    156,138x = 112,871,809,296
  5. Step 5: Solve for x
    x = 112,871,809,296/156,138
  6. Step 6: Final answer
    x = 722,897.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.