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Finding the Third Proportional to 50,964 and 78,720

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Solution

The third proportional to 50,964 and 78,720 is: 121,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,964 : 78,720 = 78,720 : x
  2. Step 2: Convert to fraction form
    50,964/78,720 = 78,720/x
  3. Step 3: Cross multiply
    50,964x = 78,720 × 78,720
  4. Step 4: Simplify right side
    50,964x = 6,196,838,400
  5. Step 5: Solve for x
    x = 6,196,838,400/50,964
  6. Step 6: Final answer
    x = 121,592.47

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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.