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Finding the Third Proportional to 30,722 and 47,875

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Solution

The third proportional to 30,722 and 47,875 is: 74,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722 : 47,875 = 47,875 : x
  2. Step 2: Convert to fraction form
    30,722/47,875 = 47,875/x
  3. Step 3: Cross multiply
    30,722x = 47,875 × 47,875
  4. Step 4: Simplify right side
    30,722x = 2,292,015,625
  5. Step 5: Solve for x
    x = 2,292,015,625/30,722
  6. Step 6: Final answer
    x = 74,605.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.