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Finding the Third Proportional to 14,768 and 21,940

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Solution

The third proportional to 14,768 and 21,940 is: 32,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768 : 21,940 = 21,940 : x
  2. Step 2: Convert to fraction form
    14,768/21,940 = 21,940/x
  3. Step 3: Cross multiply
    14,768x = 21,940 × 21,940
  4. Step 4: Simplify right side
    14,768x = 481,363,600
  5. Step 5: Solve for x
    x = 481,363,600/14,768
  6. Step 6: Final answer
    x = 32,595.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.