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Finding the Third Proportional to 43,586 and 61,378

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Solution

The third proportional to 43,586 and 61,378 is: 86,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,586 : 61,378 = 61,378 : x
  2. Step 2: Convert to fraction form
    43,586/61,378 = 61,378/x
  3. Step 3: Cross multiply
    43,586x = 61,378 × 61,378
  4. Step 4: Simplify right side
    43,586x = 3,767,258,884
  5. Step 5: Solve for x
    x = 3,767,258,884/43,586
  6. Step 6: Final answer
    x = 86,432.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.