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Finding the Third Proportional to 30,811 and 47,575

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Solution

The third proportional to 30,811 and 47,575 is: 73,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811 : 47,575 = 47,575 : x
  2. Step 2: Convert to fraction form
    30,811/47,575 = 47,575/x
  3. Step 3: Cross multiply
    30,811x = 47,575 × 47,575
  4. Step 4: Simplify right side
    30,811x = 2,263,380,625
  5. Step 5: Solve for x
    x = 2,263,380,625/30,811
  6. Step 6: Final answer
    x = 73,460.15

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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.