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Finding the Third Proportional to 83,816 and 128,640

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Solution

The third proportional to 83,816 and 128,640 is: 197,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,816 : 128,640 = 128,640 : x
  2. Step 2: Convert to fraction form
    83,816/128,640 = 128,640/x
  3. Step 3: Cross multiply
    83,816x = 128,640 × 128,640
  4. Step 4: Simplify right side
    83,816x = 16,548,249,600
  5. Step 5: Solve for x
    x = 16,548,249,600/83,816
  6. Step 6: Final answer
    x = 197,435.45

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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.