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Finding the Third Proportional to 30,816 and 49,140

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Solution

The third proportional to 30,816 and 49,140 is: 78,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 49,140 = 49,140 : x
  2. Step 2: Convert to fraction form
    30,816/49,140 = 49,140/x
  3. Step 3: Cross multiply
    30,816x = 49,140 × 49,140
  4. Step 4: Simplify right side
    30,816x = 2,414,739,600
  5. Step 5: Solve for x
    x = 2,414,739,600/30,816
  6. Step 6: Final answer
    x = 78,359.93

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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.