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Finding the Third Proportional to 30,511 and 65,704

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Solution

The third proportional to 30,511 and 65,704 is: 141,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511 : 65,704 = 65,704 : x
  2. Step 2: Convert to fraction form
    30,511/65,704 = 65,704/x
  3. Step 3: Cross multiply
    30,511x = 65,704 × 65,704
  4. Step 4: Simplify right side
    30,511x = 4,317,015,616
  5. Step 5: Solve for x
    x = 4,317,015,616/30,511
  6. Step 6: Final answer
    x = 141,490.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.