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Finding the Third Proportional to 20,130 and 38,433

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Solution

The third proportional to 20,130 and 38,433 is: 73,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130 : 38,433 = 38,433 : x
  2. Step 2: Convert to fraction form
    20,130/38,433 = 38,433/x
  3. Step 3: Cross multiply
    20,130x = 38,433 × 38,433
  4. Step 4: Simplify right side
    20,130x = 1,477,095,489
  5. Step 5: Solve for x
    x = 1,477,095,489/20,130
  6. Step 6: Final answer
    x = 73,377.82

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.