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Finding the Third Proportional to 20,410 and 28,888

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Solution

The third proportional to 20,410 and 28,888 is: 40,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410 : 28,888 = 28,888 : x
  2. Step 2: Convert to fraction form
    20,410/28,888 = 28,888/x
  3. Step 3: Cross multiply
    20,410x = 28,888 × 28,888
  4. Step 4: Simplify right side
    20,410x = 834,516,544
  5. Step 5: Solve for x
    x = 834,516,544/20,410
  6. Step 6: Final answer
    x = 40,887.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.