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Finding the Third Proportional to 68,969 and 147,781

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Solution

The third proportional to 68,969 and 147,781 is: 316,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,969 : 147,781 = 147,781 : x
  2. Step 2: Convert to fraction form
    68,969/147,781 = 147,781/x
  3. Step 3: Cross multiply
    68,969x = 147,781 × 147,781
  4. Step 4: Simplify right side
    68,969x = 21,839,223,961
  5. Step 5: Solve for x
    x = 21,839,223,961/68,969
  6. Step 6: Final answer
    x = 316,652.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.