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Finding the Third Proportional to 83,152 and 172,220

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Solution

The third proportional to 83,152 and 172,220 is: 356,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,152 : 172,220 = 172,220 : x
  2. Step 2: Convert to fraction form
    83,152/172,220 = 172,220/x
  3. Step 3: Cross multiply
    83,152x = 172,220 × 172,220
  4. Step 4: Simplify right side
    83,152x = 29,659,728,400
  5. Step 5: Solve for x
    x = 29,659,728,400/83,152
  6. Step 6: Final answer
    x = 356,692.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.