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Finding the Third Proportional to 15,020 and 21,128

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Solution

The third proportional to 15,020 and 21,128 is: 29,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,020 : 21,128 = 21,128 : x
  2. Step 2: Convert to fraction form
    15,020/21,128 = 21,128/x
  3. Step 3: Cross multiply
    15,020x = 21,128 × 21,128
  4. Step 4: Simplify right side
    15,020x = 446,392,384
  5. Step 5: Solve for x
    x = 446,392,384/15,020
  6. Step 6: Final answer
    x = 29,719.87

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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.