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Finding the Third Proportional to 42,770 and 87,220

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Solution

The third proportional to 42,770 and 87,220 is: 177,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770 : 87,220 = 87,220 : x
  2. Step 2: Convert to fraction form
    42,770/87,220 = 87,220/x
  3. Step 3: Cross multiply
    42,770x = 87,220 × 87,220
  4. Step 4: Simplify right side
    42,770x = 7,607,328,400
  5. Step 5: Solve for x
    x = 7,607,328,400/42,770
  6. Step 6: Final answer
    x = 177,865.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.