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Finding the Third Proportional to 72,471 and 83,407

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Solution

The third proportional to 72,471 and 83,407 is: 95,993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,471 : 83,407 = 83,407 : x
  2. Step 2: Convert to fraction form
    72,471/83,407 = 83,407/x
  3. Step 3: Cross multiply
    72,471x = 83,407 × 83,407
  4. Step 4: Simplify right side
    72,471x = 6,956,727,649
  5. Step 5: Solve for x
    x = 6,956,727,649/72,471
  6. Step 6: Final answer
    x = 95,993.26

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.