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Finding the Third Proportional to 82,785 and 128,157

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Solution

The third proportional to 82,785 and 128,157 is: 198,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,785 : 128,157 = 128,157 : x
  2. Step 2: Convert to fraction form
    82,785/128,157 = 128,157/x
  3. Step 3: Cross multiply
    82,785x = 128,157 × 128,157
  4. Step 4: Simplify right side
    82,785x = 16,424,216,649
  5. Step 5: Solve for x
    x = 16,424,216,649/82,785
  6. Step 6: Final answer
    x = 198,396.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.