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Finding the Third Proportional to 4,786 and 9,707

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Solution

The third proportional to 4,786 and 9,707 is: 19,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786 : 9,707 = 9,707 : x
  2. Step 2: Convert to fraction form
    4,786/9,707 = 9,707/x
  3. Step 3: Cross multiply
    4,786x = 9,707 × 9,707
  4. Step 4: Simplify right side
    4,786x = 94,225,849
  5. Step 5: Solve for x
    x = 94,225,849/4,786
  6. Step 6: Final answer
    x = 19,687.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.