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Finding the Third Proportional to 15,020 and 17,388

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Solution

The third proportional to 15,020 and 17,388 is: 20,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,020 : 17,388 = 17,388 : x
  2. Step 2: Convert to fraction form
    15,020/17,388 = 17,388/x
  3. Step 3: Cross multiply
    15,020x = 17,388 × 17,388
  4. Step 4: Simplify right side
    15,020x = 302,342,544
  5. Step 5: Solve for x
    x = 302,342,544/15,020
  6. Step 6: Final answer
    x = 20,129.33

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.