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Finding the Third Proportional to 20,130 and 31,075

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Solution

The third proportional to 20,130 and 31,075 is: 47,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130 : 31,075 = 31,075 : x
  2. Step 2: Convert to fraction form
    20,130/31,075 = 31,075/x
  3. Step 3: Cross multiply
    20,130x = 31,075 × 31,075
  4. Step 4: Simplify right side
    20,130x = 965,655,625
  5. Step 5: Solve for x
    x = 965,655,625/20,130
  6. Step 6: Final answer
    x = 47,970.97

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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.