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Finding the Third Proportional to 15,504 and 25,020

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Solution

The third proportional to 15,504 and 25,020 is: 40,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,504 : 25,020 = 25,020 : x
  2. Step 2: Convert to fraction form
    15,504/25,020 = 25,020/x
  3. Step 3: Cross multiply
    15,504x = 25,020 × 25,020
  4. Step 4: Simplify right side
    15,504x = 626,000,400
  5. Step 5: Solve for x
    x = 626,000,400/15,504
  6. Step 6: Final answer
    x = 40,376.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.