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Finding the Third Proportional to 51,264 and 78,720

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Solution

The third proportional to 51,264 and 78,720 is: 120,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,264 : 78,720 = 78,720 : x
  2. Step 2: Convert to fraction form
    51,264/78,720 = 78,720/x
  3. Step 3: Cross multiply
    51,264x = 78,720 × 78,720
  4. Step 4: Simplify right side
    51,264x = 6,196,838,400
  5. Step 5: Solve for x
    x = 6,196,838,400/51,264
  6. Step 6: Final answer
    x = 120,880.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.