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Finding the Third Proportional to 14,888 and 21,020

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Solution

The third proportional to 14,888 and 21,020 is: 29,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,888 : 21,020 = 21,020 : x
  2. Step 2: Convert to fraction form
    14,888/21,020 = 21,020/x
  3. Step 3: Cross multiply
    14,888x = 21,020 × 21,020
  4. Step 4: Simplify right side
    14,888x = 441,840,400
  5. Step 5: Solve for x
    x = 441,840,400/14,888
  6. Step 6: Final answer
    x = 29,677.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.