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Finding the Third Proportional to 72,543 and 110,961

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Solution

The third proportional to 72,543 and 110,961 is: 169,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,543 : 110,961 = 110,961 : x
  2. Step 2: Convert to fraction form
    72,543/110,961 = 110,961/x
  3. Step 3: Cross multiply
    72,543x = 110,961 × 110,961
  4. Step 4: Simplify right side
    72,543x = 12,312,343,521
  5. Step 5: Solve for x
    x = 12,312,343,521/72,543
  6. Step 6: Final answer
    x = 169,724.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.