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Finding the Third Proportional to 9,220 and 19,742

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Solution

The third proportional to 9,220 and 19,742 is: 42,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220 : 19,742 = 19,742 : x
  2. Step 2: Convert to fraction form
    9,220/19,742 = 19,742/x
  3. Step 3: Cross multiply
    9,220x = 19,742 × 19,742
  4. Step 4: Simplify right side
    9,220x = 389,746,564
  5. Step 5: Solve for x
    x = 389,746,564/9,220
  6. Step 6: Final answer
    x = 42,271.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.