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Finding the Third Proportional to 26,970 and 42,215

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Solution

The third proportional to 26,970 and 42,215 is: 66,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970 : 42,215 = 42,215 : x
  2. Step 2: Convert to fraction form
    26,970/42,215 = 42,215/x
  3. Step 3: Cross multiply
    26,970x = 42,215 × 42,215
  4. Step 4: Simplify right side
    26,970x = 1,782,106,225
  5. Step 5: Solve for x
    x = 1,782,106,225/26,970
  6. Step 6: Final answer
    x = 66,077.35

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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.