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Finding the Third Proportional to 68,505 and 107,490

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Solution

The third proportional to 68,505 and 107,490 is: 168,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,505 : 107,490 = 107,490 : x
  2. Step 2: Convert to fraction form
    68,505/107,490 = 107,490/x
  3. Step 3: Cross multiply
    68,505x = 107,490 × 107,490
  4. Step 4: Simplify right side
    68,505x = 11,554,100,100
  5. Step 5: Solve for x
    x = 11,554,100,100/68,505
  6. Step 6: Final answer
    x = 168,660.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.