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Finding the Third Proportional to 68,742 and 145,620

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Solution

The third proportional to 68,742 and 145,620 is: 308,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,742 : 145,620 = 145,620 : x
  2. Step 2: Convert to fraction form
    68,742/145,620 = 145,620/x
  3. Step 3: Cross multiply
    68,742x = 145,620 × 145,620
  4. Step 4: Simplify right side
    68,742x = 21,205,184,400
  5. Step 5: Solve for x
    x = 21,205,184,400/68,742
  6. Step 6: Final answer
    x = 308,474.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.