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Finding the Third Proportional to 40,512 and 64,320

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Solution

The third proportional to 40,512 and 64,320 is: 102,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,512 : 64,320 = 64,320 : x
  2. Step 2: Convert to fraction form
    40,512/64,320 = 64,320/x
  3. Step 3: Cross multiply
    40,512x = 64,320 × 64,320
  4. Step 4: Simplify right side
    40,512x = 4,137,062,400
  5. Step 5: Solve for x
    x = 4,137,062,400/40,512
  6. Step 6: Final answer
    x = 102,119.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.