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Finding the Third Proportional to 82,766 and 121,285

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Solution

The third proportional to 82,766 and 121,285 is: 177,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,766 : 121,285 = 121,285 : x
  2. Step 2: Convert to fraction form
    82,766/121,285 = 121,285/x
  3. Step 3: Cross multiply
    82,766x = 121,285 × 121,285
  4. Step 4: Simplify right side
    82,766x = 14,710,051,225
  5. Step 5: Solve for x
    x = 14,710,051,225/82,766
  6. Step 6: Final answer
    x = 177,730.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.