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Finding the Third Proportional to 30,210 and 64,092

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Solution

The third proportional to 30,210 and 64,092 is: 135,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210 : 64,092 = 64,092 : x
  2. Step 2: Convert to fraction form
    30,210/64,092 = 64,092/x
  3. Step 3: Cross multiply
    30,210x = 64,092 × 64,092
  4. Step 4: Simplify right side
    30,210x = 4,107,784,464
  5. Step 5: Solve for x
    x = 4,107,784,464/30,210
  6. Step 6: Final answer
    x = 135,974.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.