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Finding the Third Proportional to 68,732 and 145,606

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Solution

The third proportional to 68,732 and 145,606 is: 308,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,732 : 145,606 = 145,606 : x
  2. Step 2: Convert to fraction form
    68,732/145,606 = 145,606/x
  3. Step 3: Cross multiply
    68,732x = 145,606 × 145,606
  4. Step 4: Simplify right side
    68,732x = 21,201,107,236
  5. Step 5: Solve for x
    x = 21,201,107,236/68,732
  6. Step 6: Final answer
    x = 308,460.50

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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.