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Finding the Third Proportional to 72,407 and 154,939

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Solution

The third proportional to 72,407 and 154,939 is: 331,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,407 : 154,939 = 154,939 : x
  2. Step 2: Convert to fraction form
    72,407/154,939 = 154,939/x
  3. Step 3: Cross multiply
    72,407x = 154,939 × 154,939
  4. Step 4: Simplify right side
    72,407x = 24,006,093,721
  5. Step 5: Solve for x
    x = 24,006,093,721/72,407
  6. Step 6: Final answer
    x = 331,543.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.