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Finding the Third Proportional to 42,750 and 93,546

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Solution

The third proportional to 42,750 and 93,546 is: 204,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,750 : 93,546 = 93,546 : x
  2. Step 2: Convert to fraction form
    42,750/93,546 = 93,546/x
  3. Step 3: Cross multiply
    42,750x = 93,546 × 93,546
  4. Step 4: Simplify right side
    42,750x = 8,750,854,116
  5. Step 5: Solve for x
    x = 8,750,854,116/42,750
  6. Step 6: Final answer
    x = 204,698.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.