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Finding the Third Proportional to 30,915 and 49,776.75

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Solution

The third proportional to 30,915 and 49,776.75 is: 80,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,915 : 49,776.75 = 49,776.75 : x
  2. Step 2: Convert to fraction form
    30,915/49,776.75 = 49,776.75/x
  3. Step 3: Cross multiply
    30,915x = 49,776.75 × 49,776.75
  4. Step 4: Simplify right side
    30,915x = 2,477,724,840.56
  5. Step 5: Solve for x
    x = 2,477,724,840.56/30,915
  6. Step 6: Final answer
    x = 80,146.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.