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Finding the Third Proportional to 42,750 and 90,276

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Solution

The third proportional to 42,750 and 90,276 is: 190,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,750 : 90,276 = 90,276 : x
  2. Step 2: Convert to fraction form
    42,750/90,276 = 90,276/x
  3. Step 3: Cross multiply
    42,750x = 90,276 × 90,276
  4. Step 4: Simplify right side
    42,750x = 8,149,756,176
  5. Step 5: Solve for x
    x = 8,149,756,176/42,750
  6. Step 6: Final answer
    x = 190,637.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.