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Finding the Third Proportional to 19,210 and 30,580

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Solution

The third proportional to 19,210 and 30,580 is: 48,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,210 : 30,580 = 30,580 : x
  2. Step 2: Convert to fraction form
    19,210/30,580 = 30,580/x
  3. Step 3: Cross multiply
    19,210x = 30,580 × 30,580
  4. Step 4: Simplify right side
    19,210x = 935,136,400
  5. Step 5: Solve for x
    x = 935,136,400/19,210
  6. Step 6: Final answer
    x = 48,679.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.