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Finding the Third Proportional to 60,543 and 131,985

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Solution

The third proportional to 60,543 and 131,985 is: 287,730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,543 : 131,985 = 131,985 : x
  2. Step 2: Convert to fraction form
    60,543/131,985 = 131,985/x
  3. Step 3: Cross multiply
    60,543x = 131,985 × 131,985
  4. Step 4: Simplify right side
    60,543x = 17,420,040,225
  5. Step 5: Solve for x
    x = 17,420,040,225/60,543
  6. Step 6: Final answer
    x = 287,730.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.