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Finding the Third Proportional to 28,378 and 43,335

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Solution

The third proportional to 28,378 and 43,335 is: 66,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,378 : 43,335 = 43,335 : x
  2. Step 2: Convert to fraction form
    28,378/43,335 = 43,335/x
  3. Step 3: Cross multiply
    28,378x = 43,335 × 43,335
  4. Step 4: Simplify right side
    28,378x = 1,877,922,225
  5. Step 5: Solve for x
    x = 1,877,922,225/28,378
  6. Step 6: Final answer
    x = 66,175.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.