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Finding the Third Proportional to 104,546 and 159,275

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Solution

The third proportional to 104,546 and 159,275 is: 242,654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,546 : 159,275 = 159,275 : x
  2. Step 2: Convert to fraction form
    104,546/159,275 = 159,275/x
  3. Step 3: Cross multiply
    104,546x = 159,275 × 159,275
  4. Step 4: Simplify right side
    104,546x = 25,368,525,625
  5. Step 5: Solve for x
    x = 25,368,525,625/104,546
  6. Step 6: Final answer
    x = 242,654.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.