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Finding the Third Proportional to 83,886 and 128,748

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Solution

The third proportional to 83,886 and 128,748 is: 197,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886 : 128,748 = 128,748 : x
  2. Step 2: Convert to fraction form
    83,886/128,748 = 128,748/x
  3. Step 3: Cross multiply
    83,886x = 128,748 × 128,748
  4. Step 4: Simplify right side
    83,886x = 16,576,047,504
  5. Step 5: Solve for x
    x = 16,576,047,504/83,886
  6. Step 6: Final answer
    x = 197,602.07

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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.