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Finding the Third Proportional to 4,742 and 10,315

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Solution

The third proportional to 4,742 and 10,315 is: 22,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742 : 10,315 = 10,315 : x
  2. Step 2: Convert to fraction form
    4,742/10,315 = 10,315/x
  3. Step 3: Cross multiply
    4,742x = 10,315 × 10,315
  4. Step 4: Simplify right side
    4,742x = 106,399,225
  5. Step 5: Solve for x
    x = 106,399,225/4,742
  6. Step 6: Final answer
    x = 22,437.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.