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Finding the Third Proportional to 19,742 and 42,830

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Solution

The third proportional to 19,742 and 42,830 is: 92,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742 : 42,830 = 42,830 : x
  2. Step 2: Convert to fraction form
    19,742/42,830 = 42,830/x
  3. Step 3: Cross multiply
    19,742x = 42,830 × 42,830
  4. Step 4: Simplify right side
    19,742x = 1,834,408,900
  5. Step 5: Solve for x
    x = 1,834,408,900/19,742
  6. Step 6: Final answer
    x = 92,919.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.