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Finding the Third Proportional to 83,688 and 128,205

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Solution

The third proportional to 83,688 and 128,205 is: 196,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,688 : 128,205 = 128,205 : x
  2. Step 2: Convert to fraction form
    83,688/128,205 = 128,205/x
  3. Step 3: Cross multiply
    83,688x = 128,205 × 128,205
  4. Step 4: Simplify right side
    83,688x = 16,436,522,025
  5. Step 5: Solve for x
    x = 16,436,522,025/83,688
  6. Step 6: Final answer
    x = 196,402.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.