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Finding the Third Proportional to 20,312 and 30,556

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Solution

The third proportional to 20,312 and 30,556 is: 45,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,312 : 30,556 = 30,556 : x
  2. Step 2: Convert to fraction form
    20,312/30,556 = 30,556/x
  3. Step 3: Cross multiply
    20,312x = 30,556 × 30,556
  4. Step 4: Simplify right side
    20,312x = 933,669,136
  5. Step 5: Solve for x
    x = 933,669,136/20,312
  6. Step 6: Final answer
    x = 45,966.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.