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Finding the Third Proportional to 15,318 and 31,620

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Solution

The third proportional to 15,318 and 31,620 is: 65,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,318 : 31,620 = 31,620 : x
  2. Step 2: Convert to fraction form
    15,318/31,620 = 31,620/x
  3. Step 3: Cross multiply
    15,318x = 31,620 × 31,620
  4. Step 4: Simplify right side
    15,318x = 999,824,400
  5. Step 5: Solve for x
    x = 999,824,400/15,318
  6. Step 6: Final answer
    x = 65,271.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.