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Finding the Third Proportional to 42,236 and 66,875

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Solution

The third proportional to 42,236 and 66,875 is: 105,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,236 : 66,875 = 66,875 : x
  2. Step 2: Convert to fraction form
    42,236/66,875 = 66,875/x
  3. Step 3: Cross multiply
    42,236x = 66,875 × 66,875
  4. Step 4: Simplify right side
    42,236x = 4,472,265,625
  5. Step 5: Solve for x
    x = 4,472,265,625/42,236
  6. Step 6: Final answer
    x = 105,887.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.