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Finding the Third Proportional to 9,861 and 15,777

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Solution

The third proportional to 9,861 and 15,777 is: 25,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861 : 15,777 = 15,777 : x
  2. Step 2: Convert to fraction form
    9,861/15,777 = 15,777/x
  3. Step 3: Cross multiply
    9,861x = 15,777 × 15,777
  4. Step 4: Simplify right side
    9,861x = 248,913,729
  5. Step 5: Solve for x
    x = 248,913,729/9,861
  6. Step 6: Final answer
    x = 25,242.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.