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Finding the Third Proportional to 83,888 and 128,752

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Solution

The third proportional to 83,888 and 128,752 is: 197,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,888 : 128,752 = 128,752 : x
  2. Step 2: Convert to fraction form
    83,888/128,752 = 128,752/x
  3. Step 3: Cross multiply
    83,888x = 128,752 × 128,752
  4. Step 4: Simplify right side
    83,888x = 16,577,077,504
  5. Step 5: Solve for x
    x = 16,577,077,504/83,888
  6. Step 6: Final answer
    x = 197,609.64

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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.