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Finding the Third Proportional to 83,952 and 128,880

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Solution

The third proportional to 83,952 and 128,880 is: 197,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952 : 128,880 = 128,880 : x
  2. Step 2: Convert to fraction form
    83,952/128,880 = 128,880/x
  3. Step 3: Cross multiply
    83,952x = 128,880 × 128,880
  4. Step 4: Simplify right side
    83,952x = 16,610,054,400
  5. Step 5: Solve for x
    x = 16,610,054,400/83,952
  6. Step 6: Final answer
    x = 197,851.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.