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Finding the Third Proportional to 52,480 and 78,846

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Solution

The third proportional to 52,480 and 78,846 is: 118,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,480 : 78,846 = 78,846 : x
  2. Step 2: Convert to fraction form
    52,480/78,846 = 78,846/x
  3. Step 3: Cross multiply
    52,480x = 78,846 × 78,846
  4. Step 4: Simplify right side
    52,480x = 6,216,691,716
  5. Step 5: Solve for x
    x = 6,216,691,716/52,480
  6. Step 6: Final answer
    x = 118,458.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.