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Finding the Third Proportional to 20,140 and 28,222

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Solution

The third proportional to 20,140 and 28,222 is: 39,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140 : 28,222 = 28,222 : x
  2. Step 2: Convert to fraction form
    20,140/28,222 = 28,222/x
  3. Step 3: Cross multiply
    20,140x = 28,222 × 28,222
  4. Step 4: Simplify right side
    20,140x = 796,481,284
  5. Step 5: Solve for x
    x = 796,481,284/20,140
  6. Step 6: Final answer
    x = 39,547.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.