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Finding the Third Proportional to 68,906 and 151,780

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Solution

The third proportional to 68,906 and 151,780 is: 334,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,906 : 151,780 = 151,780 : x
  2. Step 2: Convert to fraction form
    68,906/151,780 = 151,780/x
  3. Step 3: Cross multiply
    68,906x = 151,780 × 151,780
  4. Step 4: Simplify right side
    68,906x = 23,037,168,400
  5. Step 5: Solve for x
    x = 23,037,168,400/68,906
  6. Step 6: Final answer
    x = 334,327.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.