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Finding the Third Proportional to 20,130 and 30,721

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Solution

The third proportional to 20,130 and 30,721 is: 46,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130 : 30,721 = 30,721 : x
  2. Step 2: Convert to fraction form
    20,130/30,721 = 30,721/x
  3. Step 3: Cross multiply
    20,130x = 30,721 × 30,721
  4. Step 4: Simplify right side
    20,130x = 943,779,841
  5. Step 5: Solve for x
    x = 943,779,841/20,130
  6. Step 6: Final answer
    x = 46,884.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.