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Finding the Third Proportional to 9,756 and 19,752

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Solution

The third proportional to 9,756 and 19,752 is: 39,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756 : 19,752 = 19,752 : x
  2. Step 2: Convert to fraction form
    9,756/19,752 = 19,752/x
  3. Step 3: Cross multiply
    9,756x = 19,752 × 19,752
  4. Step 4: Simplify right side
    9,756x = 390,141,504
  5. Step 5: Solve for x
    x = 390,141,504/9,756
  6. Step 6: Final answer
    x = 39,989.90

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.