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Finding the Third Proportional to 60,619 and 131,731

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Solution

The third proportional to 60,619 and 131,731 is: 286,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,619 : 131,731 = 131,731 : x
  2. Step 2: Convert to fraction form
    60,619/131,731 = 131,731/x
  3. Step 3: Cross multiply
    60,619x = 131,731 × 131,731
  4. Step 4: Simplify right side
    60,619x = 17,353,056,361
  5. Step 5: Solve for x
    x = 17,353,056,361/60,619
  6. Step 6: Final answer
    x = 286,264.31

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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.