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Finding the Third Proportional to 84,688 and 126,616

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Solution

The third proportional to 84,688 and 126,616 is: 189,302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,688 : 126,616 = 126,616 : x
  2. Step 2: Convert to fraction form
    84,688/126,616 = 126,616/x
  3. Step 3: Cross multiply
    84,688x = 126,616 × 126,616
  4. Step 4: Simplify right side
    84,688x = 16,031,611,456
  5. Step 5: Solve for x
    x = 16,031,611,456/84,688
  6. Step 6: Final answer
    x = 189,302.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.