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Finding the Third Proportional to 68,356 and 143,624

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Solution

The third proportional to 68,356 and 143,624 is: 301,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,356 : 143,624 = 143,624 : x
  2. Step 2: Convert to fraction form
    68,356/143,624 = 143,624/x
  3. Step 3: Cross multiply
    68,356x = 143,624 × 143,624
  4. Step 4: Simplify right side
    68,356x = 20,627,853,376
  5. Step 5: Solve for x
    x = 20,627,853,376/68,356
  6. Step 6: Final answer
    x = 301,770.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.