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Finding the Third Proportional to 72,467 and 156,991

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Solution

The third proportional to 72,467 and 156,991 is: 340,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,467 : 156,991 = 156,991 : x
  2. Step 2: Convert to fraction form
    72,467/156,991 = 156,991/x
  3. Step 3: Cross multiply
    72,467x = 156,991 × 156,991
  4. Step 4: Simplify right side
    72,467x = 24,646,174,081
  5. Step 5: Solve for x
    x = 24,646,174,081/72,467
  6. Step 6: Final answer
    x = 340,102.03

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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.