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Finding the Third Proportional to 27,220 and 42,774

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Solution

The third proportional to 27,220 and 42,774 is: 67,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,220 : 42,774 = 42,774 : x
  2. Step 2: Convert to fraction form
    27,220/42,774 = 42,774/x
  3. Step 3: Cross multiply
    27,220x = 42,774 × 42,774
  4. Step 4: Simplify right side
    27,220x = 1,829,615,076
  5. Step 5: Solve for x
    x = 1,829,615,076/27,220
  6. Step 6: Final answer
    x = 67,215.84

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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.